| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 520.a2 |
520a2 |
520.a |
520a |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$1.900631318$ |
$1$ |
|
$7$ |
$64$ |
$-0.033453$ |
$8586756/4225$ |
$0.96662$ |
$3.66131$ |
$[0, 0, 0, -43, -42]$ |
\(y^2=x^3-43x-42\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.3, 52.12.0-2.a.1.1, $\ldots$ |
$[(-2, 6)]$ |
| 1040.d2 |
1040a2 |
1040.d |
1040a |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$1.085231510$ |
$1$ |
|
$9$ |
$128$ |
$-0.033453$ |
$8586756/4225$ |
$0.96662$ |
$3.29600$ |
$[0, 0, 0, -43, 42]$ |
\(y^2=x^3-43x+42\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.2, 52.12.0-2.a.1.1, $\ldots$ |
$[(-3, 12)]$ |
| 2600.h2 |
2600j2 |
2600.h |
2600j |
$4$ |
$4$ |
\( 2^{3} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$3.551772862$ |
$1$ |
|
$5$ |
$1536$ |
$0.771266$ |
$8586756/4225$ |
$0.96662$ |
$4.13999$ |
$[0, 0, 0, -1075, -5250]$ |
\(y^2=x^3-1075x-5250\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.b.1.4, 104.24.0.?, 260.24.0.?, $\ldots$ |
$[(-14, 84)]$ |
| 4160.l2 |
4160o2 |
4160.l |
4160o |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1024$ |
$0.313121$ |
$8586756/4225$ |
$0.96662$ |
$3.24675$ |
$[0, 0, 0, -172, 336]$ |
\(y^2=x^3-172x+336\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.b.1.4, 104.24.0.?, 260.24.0.?, $\ldots$ |
$[ ]$ |
| 4160.m2 |
4160d2 |
4160.m |
4160d |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$2.759639621$ |
$1$ |
|
$7$ |
$1024$ |
$0.313121$ |
$8586756/4225$ |
$0.96662$ |
$3.24675$ |
$[0, 0, 0, -172, -336]$ |
\(y^2=x^3-172x-336\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.b.1.1, 104.24.0.?, 260.24.0.?, $\ldots$ |
$[(-11, 15)]$ |
| 4680.t2 |
4680s2 |
4680.t |
4680s |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2048$ |
$0.515853$ |
$8586756/4225$ |
$0.96662$ |
$3.48937$ |
$[0, 0, 0, -387, 1134]$ |
\(y^2=x^3-387x+1134\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.b.1, 60.12.0-2.a.1.1, 104.12.0.?, $\ldots$ |
$[ ]$ |
| 5200.s2 |
5200e2 |
5200.s |
5200e |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 5^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$0.771266$ |
$8586756/4225$ |
$0.96662$ |
$3.80461$ |
$[0, 0, 0, -1075, 5250]$ |
\(y^2=x^3-1075x+5250\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.b.1.1, 104.24.0.?, 260.24.0.?, $\ldots$ |
$[ ]$ |
| 6760.j2 |
6760i2 |
6760.j |
6760i |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$7.838118380$ |
$1$ |
|
$3$ |
$10752$ |
$1.249022$ |
$8586756/4225$ |
$0.96662$ |
$4.34152$ |
$[0, 0, 0, -7267, -92274]$ |
\(y^2=x^3-7267x-92274\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.b.1.5, 104.24.0.?, 260.24.0.?, $\ldots$ |
$[(-1694/5, 37296/5)]$ |
| 9360.bl2 |
9360r2 |
9360.bl |
9360r |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1.005428618$ |
$1$ |
|
$13$ |
$4096$ |
$0.515853$ |
$8586756/4225$ |
$0.96662$ |
$3.22487$ |
$[0, 0, 0, -387, -1134]$ |
\(y^2=x^3-387x-1134\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.b.1, 60.12.0-2.a.1.1, 104.12.0.?, $\ldots$ |
$[(27, 90)]$ |
| 13520.o2 |
13520h2 |
13520.o |
13520h |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$21504$ |
$1.249022$ |
$8586756/4225$ |
$0.96662$ |
$4.02515$ |
$[0, 0, 0, -7267, 92274]$ |
\(y^2=x^3-7267x+92274\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.b.1.5, 104.24.0.?, 260.24.0.?, $\ldots$ |
$[ ]$ |
| 20800.cb2 |
20800cf2 |
20800.cb |
20800cf |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.117840$ |
$8586756/4225$ |
$0.96662$ |
$3.69243$ |
$[0, 0, 0, -4300, 42000]$ |
\(y^2=x^3-4300x+42000\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.3, 52.12.0-2.a.1.2, $\ldots$ |
$[ ]$ |
| 20800.ce2 |
20800a2 |
20800.ce |
20800a |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$4.152869872$ |
$1$ |
|
$7$ |
$24576$ |
$1.117840$ |
$8586756/4225$ |
$0.96662$ |
$3.69243$ |
$[0, 0, 0, -4300, -42000]$ |
\(y^2=x^3-4300x-42000\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.b.1.2, 52.12.0-2.a.1.2, $\ldots$ |
$[(-11, 63)]$ |
| 23400.bf2 |
23400o2 |
23400.bf |
23400o |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$2.527475317$ |
$1$ |
|
$7$ |
$49152$ |
$1.320572$ |
$8586756/4225$ |
$0.96662$ |
$3.89101$ |
$[0, 0, 0, -9675, 141750]$ |
\(y^2=x^3-9675x+141750\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.b.1, 104.12.0.?, 120.24.0.?, $\ldots$ |
$[(-66, 702)]$ |
| 25480.h2 |
25480f2 |
25480.h |
25480f |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$0.939502$ |
$8586756/4225$ |
$0.96662$ |
$3.40763$ |
$[0, 0, 0, -2107, 14406]$ |
\(y^2=x^3-2107x+14406\) |
2.6.0.a.1, 40.12.0.b.1, 56.12.0-2.a.1.1, 104.12.0.?, 140.12.0.?, $\ldots$ |
$[ ]$ |
| 33800.o2 |
33800a2 |
33800.o |
33800a |
$4$ |
$4$ |
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$520$ |
$48$ |
$0$ |
$11.75979783$ |
$1$ |
|
$3$ |
$258048$ |
$2.053741$ |
$8586756/4225$ |
$0.96662$ |
$4.59748$ |
$[0, 0, 0, -181675, -11534250]$ |
\(y^2=x^3-181675x-11534250\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 20.12.0-2.a.1.1, 40.24.0-40.b.1.7, 52.12.0-2.a.1.1, $\ldots$ |
$[(-44066/17, 17454702/17)]$ |
| 37440.bg2 |
37440bm2 |
37440.bg |
37440bm |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1.375040090$ |
$1$ |
|
$11$ |
$32768$ |
$0.862427$ |
$8586756/4225$ |
$0.96662$ |
$3.19527$ |
$[0, 0, 0, -1548, 9072]$ |
\(y^2=x^3-1548x+9072\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.b.1, 104.12.0.?, 120.24.0.?, $\ldots$ |
$[(54, 288)]$ |
| 37440.bu2 |
37440ee2 |
37440.bu |
37440ee |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$32768$ |
$0.862427$ |
$8586756/4225$ |
$0.96662$ |
$3.19527$ |
$[0, 0, 0, -1548, -9072]$ |
\(y^2=x^3-1548x-9072\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.b.1, 104.12.0.?, 120.24.0.?, $\ldots$ |
$[ ]$ |
| 46800.cq2 |
46800bc2 |
46800.cq |
46800bc |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1.259214230$ |
$1$ |
|
$15$ |
$98304$ |
$1.320572$ |
$8586756/4225$ |
$0.96662$ |
$3.64021$ |
$[0, 0, 0, -9675, -141750]$ |
\(y^2=x^3-9675x-141750\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.b.1, 104.12.0.?, 120.24.0.?, $\ldots$ |
$[(-51, 468)]$ |
| 50960.bh2 |
50960j2 |
50960.bh |
50960j |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$0.939502$ |
$8586756/4225$ |
$0.96662$ |
$3.18971$ |
$[0, 0, 0, -2107, -14406]$ |
\(y^2=x^3-2107x-14406\) |
2.6.0.a.1, 40.12.0.b.1, 56.12.0-2.a.1.1, 104.12.0.?, 140.12.0.?, $\ldots$ |
$[ ]$ |
| 54080.bl2 |
54080a2 |
54080.bl |
54080a |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{16} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$5.263769297$ |
$1$ |
|
$5$ |
$172032$ |
$1.595594$ |
$8586756/4225$ |
$0.96662$ |
$3.89474$ |
$[0, 0, 0, -29068, -738192]$ |
\(y^2=x^3-29068x-738192\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.2, 40.24.0-40.b.1.6, 52.12.0-2.a.1.1, $\ldots$ |
$[(-107, 1071)]$ |
| 54080.bo2 |
54080bx2 |
54080.bo |
54080bx |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 13^{2} \) |
\( 2^{16} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$172032$ |
$1.595594$ |
$8586756/4225$ |
$0.96662$ |
$3.89474$ |
$[0, 0, 0, -29068, 738192]$ |
\(y^2=x^3-29068x+738192\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.2, 40.24.0-40.b.1.6, 52.12.0-2.a.1.1, $\ldots$ |
$[ ]$ |
| 60840.m2 |
60840h2 |
60840.m |
60840h |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$344064$ |
$1.798328$ |
$8586756/4225$ |
$0.96662$ |
$4.07394$ |
$[0, 0, 0, -65403, 2491398]$ |
\(y^2=x^3-65403x+2491398\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.b.1, 104.12.0.?, 120.24.0.?, $\ldots$ |
$[ ]$ |
| 62920.l2 |
62920q2 |
62920.l |
62920q |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 5^{2} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$81920$ |
$1.165495$ |
$8586756/4225$ |
$0.96662$ |
$3.37429$ |
$[0, 0, 0, -5203, 55902]$ |
\(y^2=x^3-5203x+55902\) |
2.6.0.a.1, 40.12.0.b.1, 88.12.0.?, 104.12.0.?, 220.12.0.?, $\ldots$ |
$[ ]$ |
| 67600.bu2 |
67600a2 |
67600.bu |
67600a |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$520$ |
$48$ |
$0$ |
$5.026108792$ |
$1$ |
|
$5$ |
$516096$ |
$2.053741$ |
$8586756/4225$ |
$0.96662$ |
$4.31094$ |
$[0, 0, 0, -181675, 11534250]$ |
\(y^2=x^3-181675x+11534250\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 20.12.0-2.a.1.1, 40.24.0-40.b.1.7, 52.12.0-2.a.1.1, $\ldots$ |
$[(29, 2508)]$ |
| 121680.bm2 |
121680m2 |
121680.bm |
121680m |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$688128$ |
$1.798328$ |
$8586756/4225$ |
$0.96662$ |
$3.83278$ |
$[0, 0, 0, -65403, -2491398]$ |
\(y^2=x^3-65403x-2491398\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.b.1, 104.12.0.?, 120.24.0.?, $\ldots$ |
$[ ]$ |
| 125840.bc2 |
125840i2 |
125840.bc |
125840i |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 5^{2} \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5720$ |
$48$ |
$0$ |
$2.795748943$ |
$1$ |
|
$7$ |
$163840$ |
$1.165495$ |
$8586756/4225$ |
$0.96662$ |
$3.17511$ |
$[0, 0, 0, -5203, -55902]$ |
\(y^2=x^3-5203x-55902\) |
2.6.0.a.1, 40.12.0.b.1, 88.12.0.?, 104.12.0.?, 220.12.0.?, $\ldots$ |
$[(-21, 210)]$ |
| 127400.v2 |
127400bh2 |
127400.v |
127400bh |
$4$ |
$4$ |
\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 5^{8} \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$2.824229248$ |
$1$ |
|
$7$ |
$589824$ |
$1.744221$ |
$8586756/4225$ |
$0.96662$ |
$3.76257$ |
$[0, 0, 0, -52675, 1800750]$ |
\(y^2=x^3-52675x+1800750\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 40.12.0.b.1, 104.12.0.?, 260.12.0.?, $\ldots$ |
$[(259, 2352)]$ |
| 150280.j2 |
150280k2 |
150280.j |
150280k |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$8840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$294912$ |
$1.383154$ |
$8586756/4225$ |
$0.96662$ |
$3.34695$ |
$[0, 0, 0, -12427, -206346]$ |
\(y^2=x^3-12427x-206346\) |
2.6.0.a.1, 40.12.0.b.1, 104.12.0.?, 136.12.0.?, 260.12.0.?, $\ldots$ |
$[ ]$ |
| 187200.he2 |
187200md2 |
187200.he |
187200md |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{8} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$3.946550265$ |
$1$ |
|
$25$ |
$786432$ |
$1.667147$ |
$8586756/4225$ |
$0.96662$ |
$3.56710$ |
$[0, 0, 0, -38700, 1134000]$ |
\(y^2=x^3-38700x+1134000\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.b.1, 60.12.0-2.a.1.1, 104.12.0.?, $\ldots$ |
$[(-60, 1800), (24, 468)]$ |
| 187200.ja2 |
187200ew2 |
187200.ja |
187200ew |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$2.648704600$ |
$1$ |
|
$9$ |
$786432$ |
$1.667147$ |
$8586756/4225$ |
$0.96662$ |
$3.56710$ |
$[0, 0, 0, -38700, -1134000]$ |
\(y^2=x^3-38700x-1134000\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.b.1, 60.12.0-2.a.1.1, 104.12.0.?, $\ldots$ |
$[(220, 1000)]$ |
| 187720.q2 |
187720n2 |
187720.q |
187720n |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \cdot 13 \cdot 19^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$9880$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$442368$ |
$1.438766$ |
$8586756/4225$ |
$0.96662$ |
$3.34059$ |
$[0, 0, 0, -15523, 288078]$ |
\(y^2=x^3-15523x+288078\) |
2.6.0.a.1, 40.12.0.b.1, 104.12.0.?, 152.12.0.?, 260.12.0.?, $\ldots$ |
$[ ]$ |
| 203840.cn2 |
203840br2 |
203840.cn |
203840br |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$2.416938329$ |
$1$ |
|
$9$ |
$393216$ |
$1.286076$ |
$8586756/4225$ |
$0.96662$ |
$3.16820$ |
$[0, 0, 0, -8428, -115248]$ |
\(y^2=x^3-8428x-115248\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 40.12.0.b.1, 104.12.0.?, 260.12.0.?, $\ldots$ |
$[(112, 588)]$ |
| 203840.dc2 |
203840ex2 |
203840.dc |
203840ex |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{16} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$393216$ |
$1.286076$ |
$8586756/4225$ |
$0.96662$ |
$3.16820$ |
$[0, 0, 0, -8428, 115248]$ |
\(y^2=x^3-8428x+115248\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 40.12.0.b.1, 104.12.0.?, 260.12.0.?, $\ldots$ |
$[ ]$ |
| 229320.cg2 |
229320bv2 |
229320.cg |
229320bv |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10920$ |
$48$ |
$0$ |
$2.043624122$ |
$1$ |
|
$9$ |
$786432$ |
$1.488808$ |
$8586756/4225$ |
$0.96662$ |
$3.33507$ |
$[0, 0, 0, -18963, -388962]$ |
\(y^2=x^3-18963x-388962\) |
2.6.0.a.1, 40.12.0.b.1, 104.12.0.?, 168.12.0.?, 260.12.0.?, $\ldots$ |
$[(-77, 784)]$ |
| 254800.en2 |
254800en2 |
254800.en |
254800en |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 5^{8} \cdot 7^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1179648$ |
$1.744221$ |
$8586756/4225$ |
$0.96662$ |
$3.55306$ |
$[0, 0, 0, -52675, -1800750]$ |
\(y^2=x^3-52675x-1800750\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 40.12.0.b.1, 104.12.0.?, 260.12.0.?, $\ldots$ |
$[ ]$ |
| 270400.ey2 |
270400ey2 |
270400.ey |
270400ey |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{16} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$520$ |
$48$ |
$0$ |
$2.724412789$ |
$4$ |
$2$ |
$9$ |
$4128768$ |
$2.400314$ |
$8586756/4225$ |
$0.96662$ |
$4.16564$ |
$[0, 0, 0, -726700, -92274000]$ |
\(y^2=x^3-726700x-92274000\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 40.24.0-40.b.1.8, 104.24.0.?, 260.24.0.?, $\ldots$ |
$[(-530, 12000)]$ |
| 270400.fo2 |
270400fo2 |
270400.fo |
270400fo |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{16} \cdot 5^{8} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$520$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$4128768$ |
$2.400314$ |
$8586756/4225$ |
$0.96662$ |
$4.16564$ |
$[0, 0, 0, -726700, 92274000]$ |
\(y^2=x^3-726700x+92274000\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 40.24.0-40.b.1.8, 104.24.0.?, 260.24.0.?, $\ldots$ |
$[ ]$ |
| 275080.i2 |
275080i2 |
275080.i |
275080i |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \cdot 13 \cdot 23^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$11960$ |
$48$ |
$0$ |
$9.224263928$ |
$1$ |
|
$3$ |
$811008$ |
$1.534294$ |
$8586756/4225$ |
$0.96662$ |
$3.33020$ |
$[0, 0, 0, -22747, 511014]$ |
\(y^2=x^3-22747x+511014\) |
2.6.0.a.1, 40.12.0.b.1, 104.12.0.?, 184.12.0.?, 260.12.0.?, $\ldots$ |
$[(88255/17, 23066784/17)]$ |
| 300560.bc2 |
300560bc2 |
300560.bc |
300560bc |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{2} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$8840$ |
$48$ |
$0$ |
$6.849892463$ |
$1$ |
|
$15$ |
$589824$ |
$1.383154$ |
$8586756/4225$ |
$0.96662$ |
$3.16302$ |
$[0, 0, 0, -12427, 206346]$ |
\(y^2=x^3-12427x+206346\) |
2.6.0.a.1, 40.12.0.b.1, 104.12.0.?, 136.12.0.?, 260.12.0.?, $\ldots$ |
$[(-15, 624), (115, 546)]$ |
| 304200.co2 |
304200co2 |
304200.co |
304200co |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$3.922980880$ |
$1$ |
|
$9$ |
$8257536$ |
$2.603046$ |
$8586756/4225$ |
$0.96662$ |
$4.31947$ |
$[0, 0, 0, -1635075, 311424750]$ |
\(y^2=x^3-1635075x+311424750\) |
2.6.0.a.1, 24.12.0-2.a.1.2, 40.12.0.b.1, 60.12.0-2.a.1.1, 104.12.0.?, $\ldots$ |
$[(1195, 8000)]$ |
| 314600.bl2 |
314600bl2 |
314600.bl |
314600bl |
$4$ |
$4$ |
\( 2^{3} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 5^{8} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1966080$ |
$1.970213$ |
$8586756/4225$ |
$0.96662$ |
$3.70811$ |
$[0, 0, 0, -130075, 6987750]$ |
\(y^2=x^3-130075x+6987750\) |
2.6.0.a.1, 40.12.0.b.1, 44.12.0-2.a.1.1, 104.12.0.?, 260.12.0.?, $\ldots$ |
$[ ]$ |
| 331240.bg2 |
331240bg2 |
331240.bg |
331240bg |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 7^{6} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3640$ |
$48$ |
$0$ |
$9.219398674$ |
$1$ |
|
$3$ |
$4128768$ |
$2.221977$ |
$8586756/4225$ |
$0.96662$ |
$3.93076$ |
$[0, 0, 0, -356083, 31649982]$ |
\(y^2=x^3-356083x+31649982\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 40.12.0.b.1, 104.12.0.?, 260.12.0.?, $\ldots$ |
$[(174307/11, 66658032/11)]$ |
| 375440.bo2 |
375440bo2 |
375440.bo |
375440bo |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 13 \cdot 19^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$9880$ |
$48$ |
$0$ |
$3.522948510$ |
$1$ |
|
$7$ |
$884736$ |
$1.438766$ |
$8586756/4225$ |
$0.96662$ |
$3.16020$ |
$[0, 0, 0, -15523, -288078]$ |
\(y^2=x^3-15523x-288078\) |
2.6.0.a.1, 40.12.0.b.1, 104.12.0.?, 152.12.0.?, 260.12.0.?, $\ldots$ |
$[(-109, 330)]$ |
| 437320.j2 |
437320j2 |
437320.j |
437320j |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \cdot 13 \cdot 29^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{2} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$15080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$1605632$ |
$1.650194$ |
$8586756/4225$ |
$0.96662$ |
$3.31842$ |
$[0, 0, 0, -36163, -1024338]$ |
\(y^2=x^3-36163x-1024338\) |
2.6.0.a.1, 40.12.0.b.1, 104.12.0.?, 232.12.0.?, 260.12.0.?, $\ldots$ |
$[ ]$ |
| 458640.x2 |
458640x2 |
458640.x |
458640x |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10920$ |
$48$ |
$0$ |
$1.907271501$ |
$1$ |
|
$37$ |
$1572864$ |
$1.488808$ |
$8586756/4225$ |
$0.96662$ |
$3.15774$ |
$[0, 0, 0, -18963, 388962]$ |
\(y^2=x^3-18963x+388962\) |
2.6.0.a.1, 40.12.0.b.1, 104.12.0.?, 168.12.0.?, 260.12.0.?, $\ldots$ |
$[(-21, 882), (9, 468)]$ |
| 486720.mh2 |
486720mh2 |
486720.mh |
486720mh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$5505024$ |
$2.144901$ |
$8586756/4225$ |
$0.96662$ |
$3.74462$ |
$[0, 0, 0, -261612, -19931184]$ |
\(y^2=x^3-261612x-19931184\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.b.1, 60.12.0-2.a.1.2, 104.12.0.?, $\ldots$ |
$[ ]$ |
| 486720.nh2 |
486720nh2 |
486720.nh |
486720nh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$5.821678769$ |
$1$ |
|
$5$ |
$5505024$ |
$2.144901$ |
$8586756/4225$ |
$0.96662$ |
$3.74462$ |
$[0, 0, 0, -261612, 19931184]$ |
\(y^2=x^3-261612x+19931184\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.b.1, 60.12.0-2.a.1.2, 104.12.0.?, $\ldots$ |
$[(4078, 258400)]$ |
| 499720.l2 |
499720l2 |
499720.l |
499720l |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \cdot 13 \cdot 31^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 13^{2} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$16120$ |
$48$ |
$0$ |
$11.47711933$ |
$1$ |
|
$3$ |
$1935360$ |
$1.683540$ |
$8586756/4225$ |
$0.96662$ |
$3.31518$ |
$[0, 0, 0, -41323, 1251222]$ |
\(y^2=x^3-41323x+1251222\) |
2.6.0.a.1, 40.12.0.b.1, 104.12.0.?, 248.12.0.?, 260.12.0.?, $\ldots$ |
$[(540551/31, 372059280/31)]$ |
