| 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 |
| 2415.b3 |
2415f4 |
2415.b |
2415f |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 3^{4} \cdot 5^{12} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4224$ |
$1.085478$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$4.67403$ |
$[1, 0, 0, -2071, 93026]$ |
\(y^2+xy=x^3-2071x+93026\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 92.12.0.?, 120.12.0.?, $\ldots$ |
$[]$ |
| 7245.s3 |
7245s4 |
7245.s |
7245s |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 3^{10} \cdot 5^{12} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33792$ |
$1.634785$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$4.83792$ |
$[1, -1, 0, -18639, -2511702]$ |
\(y^2+xy=x^3-x^2-18639x-2511702\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 84.12.0.?, 276.12.0.?, $\ldots$ |
$[]$ |
| 12075.r3 |
12075c4 |
12075.r |
12075c |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 3^{4} \cdot 5^{18} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$7.095967722$ |
$1$ |
|
$0$ |
$101376$ |
$1.890196$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$4.90108$ |
$[1, 1, 0, -51775, 11628250]$ |
\(y^2+xy=x^3+x^2-51775x+11628250\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 140.12.0.?, 460.12.0.?, $\ldots$ |
$[(3151/2, 168515/2)]$ |
| 16905.g3 |
16905q4 |
16905.g |
16905q |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 3^{4} \cdot 5^{12} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$202752$ |
$2.058434$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$4.93906$ |
$[1, 1, 1, -101480, -32009398]$ |
\(y^2+xy+y=x^3+x^2-101480x-32009398\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 644.24.0.?, 840.24.0.?, 2760.24.0.?, $\ldots$ |
$[]$ |
| 36225.l3 |
36225bk3 |
36225.l |
36225bk |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 3^{10} \cdot 5^{18} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$19320$ |
$48$ |
$0$ |
$6.851174957$ |
$1$ |
|
$0$ |
$811008$ |
$2.439503$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$5.01609$ |
$[1, -1, 1, -465980, -314428728]$ |
\(y^2+xy+y=x^3-x^2-465980x-314428728\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 420.12.0.?, 644.12.0.?, $\ldots$ |
$[(6527/2, 450795/2)]$ |
| 38640.d3 |
38640bg3 |
38640.d |
38640bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{12} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$270336$ |
$1.778625$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$4.23459$ |
$[0, -1, 0, -33136, -5953664]$ |
\(y^2=x^3-x^2-33136x-5953664\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 92.12.0.?, 120.12.0.?, $\ldots$ |
$[]$ |
| 50715.bi3 |
50715q3 |
50715.bi |
50715q |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 3^{10} \cdot 5^{12} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$7.973903583$ |
$1$ |
|
$0$ |
$1622016$ |
$2.607738$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$5.04665$ |
$[1, -1, 0, -913320, 863340421]$ |
\(y^2+xy=x^3-x^2-913320x+863340421\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 280.12.0.?, 644.12.0.?, $\ldots$ |
$[(-6523/4, 2200127/4)]$ |
| 55545.g3 |
55545u3 |
55545.g |
55545u |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 3^{4} \cdot 5^{12} \cdot 7 \cdot 23^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2230272$ |
$2.653225$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$5.05459$ |
$[1, 0, 0, -1095570, -1134038475]$ |
\(y^2+xy=x^3-1095570x-1134038475\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 644.24.0.?, 840.24.0.?, 2760.24.0.?, $\ldots$ |
$[]$ |
| 84525.da3 |
84525by3 |
84525.da |
84525by |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3^{4} \cdot 5^{18} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$11.94567138$ |
$1$ |
|
$0$ |
$4866048$ |
$2.863152$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$5.08957$ |
$[1, 0, 1, -2537001, -3996100727]$ |
\(y^2+xy+y=x^3-2537001x-3996100727\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 168.12.0.?, 552.12.0.?, $\ldots$ |
$[(19246607/26, 84047302821/26)]$ |
| 115920.dr3 |
115920en3 |
115920.dr |
115920en |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{10} \cdot 5^{12} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1.799056305$ |
$1$ |
|
$5$ |
$2162688$ |
$2.327930$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$4.40092$ |
$[0, 0, 0, -298227, 161047154]$ |
\(y^2=x^3-298227x+161047154\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 84.12.0.?, 276.12.0.?, $\ldots$ |
$[(-97, 13750)]$ |
| 154560.dd3 |
154560ga4 |
154560.dd |
154560ga |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{18} \cdot 3^{4} \cdot 5^{12} \cdot 7 \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1.950004065$ |
$1$ |
|
$19$ |
$2162688$ |
$2.125198$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$4.09134$ |
$[0, -1, 0, -132545, 47761857]$ |
\(y^2=x^3-x^2-132545x+47761857\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.2, 120.12.0.?, 184.12.0.?, $\ldots$ |
$[(-31, 7200), (101/2, 53325/2)]$ |
| 154560.hd3 |
154560ba3 |
154560.hd |
154560ba |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{18} \cdot 3^{4} \cdot 5^{12} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2162688$ |
$2.125198$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$4.09134$ |
$[0, 1, 0, -132545, -47761857]$ |
\(y^2=x^3+x^2-132545x-47761857\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 120.12.0.?, 184.12.0.?, $\ldots$ |
$[]$ |
| 166635.bi3 |
166635bw4 |
166635.bi |
166635bw |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 3^{10} \cdot 5^{12} \cdot 7 \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$20.73024107$ |
$1$ |
|
$0$ |
$17842176$ |
$3.202530$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$5.14097$ |
$[1, -1, 0, -9860130, 30619038825]$ |
\(y^2+xy=x^3-x^2-9860130x+30619038825\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 280.12.0.?, 644.12.0.?, $\ldots$ |
$[(8839206891/374, 828402222023415/374)]$ |
| 193200.fx3 |
193200y3 |
193200.fx |
193200y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{18} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$15.69032324$ |
$1$ |
|
$1$ |
$6488064$ |
$2.583344$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$4.46803$ |
$[0, 1, 0, -828408, -745864812]$ |
\(y^2=x^3+x^2-828408x-745864812\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 140.12.0.?, 460.12.0.?, $\ldots$ |
$[(9893164/69, 26504601526/69)]$ |
| 253575.ba3 |
253575ba4 |
253575.ba |
253575ba |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3^{10} \cdot 5^{18} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38928384$ |
$3.412457$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$5.16995$ |
$[1, -1, 1, -22833005, 107894719622]$ |
\(y^2+xy+y=x^3-x^2-22833005x+107894719622\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 60.12.0-4.c.1.1, 184.12.0.?, $\ldots$ |
$[]$ |
| 270480.hj3 |
270480hj4 |
270480.hj |
270480hj |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{12} \cdot 7^{7} \cdot 23 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$19320$ |
$48$ |
$0$ |
$3.075947020$ |
$1$ |
|
$7$ |
$12976128$ |
$2.751579$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$4.50924$ |
$[0, 1, 0, -1623680, 2045354100]$ |
\(y^2=x^3+x^2-1623680x+2045354100\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 644.24.0.?, 840.24.0.?, 2760.24.0.?, $\ldots$ |
$[(340, 39150)]$ |
| 277725.cg3 |
277725cg3 |
277725.cg |
277725cg |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{4} \cdot 5^{18} \cdot 7 \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$45.62995590$ |
$1$ |
|
$0$ |
$53526528$ |
$3.457943$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$5.17598$ |
$[1, 1, 0, -27389250, -141754809375]$ |
\(y^2+xy=x^3+x^2-27389250x-141754809375\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 168.12.0.?, 552.12.0.?, $\ldots$ |
$[(3712170039342174595881/464925320, 211212578890062151626149560316511/464925320)]$ |
| 292215.bd3 |
292215bd3 |
292215.bd |
292215bd |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 3^{4} \cdot 5^{12} \cdot 7 \cdot 11^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$212520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5406720$ |
$2.284424$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$4.03611$ |
$[1, 0, 1, -250594, -124068199]$ |
\(y^2+xy+y=x^3-250594x-124068199\) |
2.3.0.a.1, 4.6.0.c.1, 308.12.0.?, 644.12.0.?, 840.12.0.?, $\ldots$ |
$[]$ |
| 388815.o3 |
388815o4 |
388815.o |
388815o |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
\( - 3^{4} \cdot 5^{12} \cdot 7^{7} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$2.952070099$ |
$1$ |
|
$2$ |
$107053056$ |
$3.626179$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$5.19752$ |
$[1, 1, 1, -53682931, 388921513994]$ |
\(y^2+xy+y=x^3+x^2-53682931x+388921513994\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 92.12.0.?, 120.12.0.?, $\ldots$ |
$[(4843, 490077)]$ |
| 408135.bs3 |
408135bs4 |
408135.bs |
408135bs |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 3^{4} \cdot 5^{12} \cdot 7 \cdot 13^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$251160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9732096$ |
$2.367954$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$4.00932$ |
$[1, 0, 1, -350003, 204728123]$ |
\(y^2+xy+y=x^3-350003x+204728123\) |
2.3.0.a.1, 4.6.0.c.1, 364.12.0.?, 644.12.0.?, 840.12.0.?, $\ldots$ |
$[]$ |
| 463680.k3 |
463680k4 |
463680.k |
463680k |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{18} \cdot 3^{10} \cdot 5^{12} \cdot 7 \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$25.44324269$ |
$1$ |
|
$7$ |
$17301504$ |
$2.674503$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$4.25206$ |
$[0, 0, 0, -1192908, 1288377232]$ |
\(y^2=x^3-1192908x+1288377232\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 168.12.0.?, 552.12.0.?, $\ldots$ |
$[(-148, 38232), (5117, 359397)]$ |
| 463680.gt3 |
463680gt3 |
463680.gt |
463680gt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{18} \cdot 3^{10} \cdot 5^{12} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$16.36567242$ |
$1$ |
|
$1$ |
$17301504$ |
$2.674503$ |
$-982374577874929/3183837890625$ |
$1.03288$ |
$4.25206$ |
$[0, 0, 0, -1192908, -1288377232]$ |
\(y^2=x^3-1192908x-1288377232\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 168.12.0.?, 552.12.0.?, $\ldots$ |
$[(1597294829/71, 63837377828125/71)]$ |
