| 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 |
| 4830.o3 |
4830q1 |
4830.o |
4830q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{16} \cdot 3 \cdot 5^{5} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$2760$ |
$48$ |
$0$ |
$0.935526220$ |
$1$ |
|
$5$ |
$30720$ |
$1.596094$ |
$1180838681727016392361/692428800000$ |
$0.99191$ |
$5.72000$ |
$[1, 0, 1, -220203, 39754006]$ |
\(y^2+xy+y=x^3-220203x+39754006\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.2, 40.24.0-40.ba.1.10, $\ldots$ |
$[(280, 122)]$ |
| 14490.bo3 |
14490bp1 |
14490.bo |
14490bp |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{16} \cdot 3^{7} \cdot 5^{5} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$2.145401$ |
$1180838681727016392361/692428800000$ |
$0.99191$ |
$5.75211$ |
$[1, -1, 1, -1981823, -1073358169]$ |
\(y^2+xy+y=x^3-x^2-1981823x-1073358169\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 24150.bl3 |
24150bn1 |
24150.bl |
24150bn |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{16} \cdot 3 \cdot 5^{11} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$737280$ |
$2.400814$ |
$1180838681727016392361/692428800000$ |
$0.99191$ |
$5.76466$ |
$[1, 1, 1, -5505063, 4969250781]$ |
\(y^2+xy+y=x^3+x^2-5505063x+4969250781\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.4, 552.24.0.?, 690.6.0.?, $\ldots$ |
$[]$ |
| 33810.c3 |
33810m1 |
33810.c |
33810m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{16} \cdot 3 \cdot 5^{5} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$17.57711170$ |
$1$ |
|
$1$ |
$1474560$ |
$2.569050$ |
$1180838681727016392361/692428800000$ |
$0.99191$ |
$5.77225$ |
$[1, 1, 0, -10789923, -13646414067]$ |
\(y^2+xy=x^3+x^2-10789923x-13646414067\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$ |
$[(291012167/73, 4944636937600/73)]$ |
| 38640.be3 |
38640bv1 |
38640.be |
38640bv |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{28} \cdot 3 \cdot 5^{5} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2760$ |
$48$ |
$0$ |
$4.424765079$ |
$1$ |
|
$3$ |
$737280$ |
$2.289242$ |
$1180838681727016392361/692428800000$ |
$0.99191$ |
$5.38137$ |
$[0, -1, 0, -3523240, -2544256400]$ |
\(y^2=x^3-x^2-3523240x-2544256400\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.ba.1.2, $\ldots$ |
$[(35780, 6758400)]$ |
| 72450.z3 |
72450bh1 |
72450.z |
72450bh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{16} \cdot 3^{7} \cdot 5^{11} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$21.25968778$ |
$1$ |
|
$1$ |
$5898240$ |
$2.950119$ |
$1180838681727016392361/692428800000$ |
$0.99191$ |
$5.78776$ |
$[1, -1, 0, -49545567, -134219316659]$ |
\(y^2+xy=x^3-x^2-49545567x-134219316659\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.ba.1, 120.24.0.?, $\ldots$ |
$[(56288888318/2519, 5563974470393431/2519)]$ |
| 101430.fj3 |
101430ey1 |
101430.fj |
101430ey |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{16} \cdot 3^{7} \cdot 5^{5} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$0.483436850$ |
$1$ |
|
$9$ |
$11796480$ |
$3.118355$ |
$1180838681727016392361/692428800000$ |
$0.99191$ |
$5.79396$ |
$[1, -1, 1, -97109312, 368356070499]$ |
\(y^2+xy+y=x^3-x^2-97109312x+368356070499\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 168.12.0.?, 420.12.0.?, $\ldots$ |
$[(5637, 4041)]$ |
| 111090.x3 |
111090w1 |
111090.x |
111090w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{16} \cdot 3 \cdot 5^{5} \cdot 7^{2} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$68.41685987$ |
$1$ |
|
$1$ |
$16220160$ |
$3.163841$ |
$1180838681727016392361/692428800000$ |
$0.99191$ |
$5.79557$ |
$[1, 0, 1, -116487134, -483919968304]$ |
\(y^2+xy+y=x^3-116487134x-483919968304\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.ba.1, 120.24.0.?, $\ldots$ |
$[(-8745490721105995117220569838666/37465830921597, 188799387485367201490035628467238392860958161/37465830921597)]$ |
| 115920.e3 |
115920df1 |
115920.e |
115920df |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{28} \cdot 3^{7} \cdot 5^{5} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5898240$ |
$2.838547$ |
$1180838681727016392361/692428800000$ |
$0.99191$ |
$5.43966$ |
$[0, 0, 0, -31709163, 68726631962]$ |
\(y^2=x^3-31709163x+68726631962\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 154560.bx3 |
154560ho1 |
154560.bx |
154560ho |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{34} \cdot 3 \cdot 5^{5} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2760$ |
$48$ |
$0$ |
$11.83698371$ |
$1$ |
|
$1$ |
$5898240$ |
$2.635815$ |
$1180838681727016392361/692428800000$ |
$0.99191$ |
$5.10508$ |
$[0, -1, 0, -14092961, 20368144161]$ |
\(y^2=x^3-x^2-14092961x+20368144161\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.ba.1.1, 552.24.0.?, $\ldots$ |
$[(5867185/52, 18721087/52)]$ |
| 154560.ej3 |
154560bw1 |
154560.ej |
154560bw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{34} \cdot 3 \cdot 5^{5} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2760$ |
$48$ |
$0$ |
$39.76703799$ |
$1$ |
|
$1$ |
$5898240$ |
$2.635815$ |
$1180838681727016392361/692428800000$ |
$0.99191$ |
$5.10508$ |
$[0, 1, 0, -14092961, -20368144161]$ |
\(y^2=x^3+x^2-14092961x-20368144161\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.ba.1.9, 552.24.0.?, $\ldots$ |
$[(-3156706414035311867/38171538, 105249155721456618595369/38171538)]$ |
| 169050.hd3 |
169050w1 |
169050.hd |
169050w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{16} \cdot 3 \cdot 5^{11} \cdot 7^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$35389440$ |
$3.373768$ |
$1180838681727016392361/692428800000$ |
$0.99191$ |
$5.80270$ |
$[1, 0, 0, -269748088, -1705262262208]$ |
\(y^2+xy=x^3-269748088x-1705262262208\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.ba.1, 280.24.0.?, $\ldots$ |
$[]$ |
| 193200.hm3 |
193200bs1 |
193200.hm |
193200bs |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( 2^{28} \cdot 3 \cdot 5^{11} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$30.28790040$ |
$1$ |
|
$1$ |
$17694720$ |
$3.093960$ |
$1180838681727016392361/692428800000$ |
$0.99191$ |
$5.46317$ |
$[0, 1, 0, -88081008, -318208212012]$ |
\(y^2=x^3+x^2-88081008x-318208212012\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.ba.1.12, 552.24.0.?, 690.6.0.?, $\ldots$ |
$[(35986573901969/17816, 215115565230272414631/17816)]$ |
| 270480.gw3 |
270480gw1 |
270480.gw |
270480gw |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( 2^{28} \cdot 3 \cdot 5^{5} \cdot 7^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$35389440$ |
$3.262196$ |
$1180838681727016392361/692428800000$ |
$0.99191$ |
$5.47761$ |
$[0, 1, 0, -172638776, 873025222740]$ |
\(y^2=x^3+x^2-172638776x+873025222740\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 56.12.0-4.c.1.5, 140.12.0.?, $\ldots$ |
$[]$ |
| 333270.ec3 |
333270ec1 |
333270.ec |
333270ec |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2^{16} \cdot 3^{7} \cdot 5^{5} \cdot 7^{2} \cdot 23^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$0.763863690$ |
$1$ |
|
$19$ |
$129761280$ |
$3.713146$ |
$1180838681727016392361/692428800000$ |
$0.99191$ |
$5.81323$ |
$[1, -1, 1, -1048384202, 13065839144201]$ |
\(y^2+xy+y=x^3-x^2-1048384202x+13065839144201\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.13, 552.24.0.?, 690.6.0.?, $\ldots$ |
$[(18751, 3849)]$ |
| 463680.kq3 |
463680kq1 |
463680.kq |
463680kq |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{34} \cdot 3^{7} \cdot 5^{5} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1.744926178$ |
$1$ |
|
$5$ |
$47185920$ |
$3.185120$ |
$1180838681727016392361/692428800000$ |
$0.99191$ |
$5.18043$ |
$[0, 0, 0, -126836652, 549813055696]$ |
\(y^2=x^3-126836652x+549813055696\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.ba.1, 120.24.0.?, $\ldots$ |
$[(6512, 1260)]$ |
| 463680.lo3 |
463680lo1 |
463680.lo |
463680lo |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{34} \cdot 3^{7} \cdot 5^{5} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$47185920$ |
$3.185120$ |
$1180838681727016392361/692428800000$ |
$0.99191$ |
$5.18043$ |
$[0, 0, 0, -126836652, -549813055696]$ |
\(y^2=x^3-126836652x-549813055696\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.ba.1, 120.24.0.?, $\ldots$ |
$[]$ |
