| 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 |
| 395798.a1 |
395798a1 |
395798.a |
395798a |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{8} \cdot 13^{11} \cdot 1171 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30446$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8064000$ |
$2.081005$ |
$-6570725617/111304730368$ |
$0.92903$ |
$3.74593$ |
$[1, 0, 1, -6595, -35266242]$ |
\(y^2+xy+y=x^3-6595x-35266242\) |
30446.2.0.? |
$[]$ |
| 395798.b1 |
395798b1 |
395798.b |
395798b |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{4} \cdot 13^{2} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2342$ |
$2$ |
$0$ |
$1.934874906$ |
$1$ |
|
$2$ |
$124800$ |
$-0.063712$ |
$29225183/18736$ |
$0.78003$ |
$1.73179$ |
$[1, 0, 1, 35, -24]$ |
\(y^2+xy+y=x^3+35x-24\) |
2342.2.0.? |
$[(2, 6)]$ |
| 395798.c1 |
395798c1 |
395798.c |
395798c |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{20} \cdot 13^{7} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30446$ |
$2$ |
$0$ |
$4.886890800$ |
$1$ |
|
$0$ |
$5752320$ |
$1.970480$ |
$-108948243772081/15962472448$ |
$0.84605$ |
$3.71934$ |
$[1, 0, 1, -168159, 29698034]$ |
\(y^2+xy+y=x^3-168159x+29698034\) |
30446.2.0.? |
$[(43/2, 42203/2)]$ |
| 395798.d1 |
395798d1 |
395798.d |
395798d |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( 2^{6} \cdot 13^{8} \cdot 1171 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4684$ |
$2$ |
$0$ |
$1.622937188$ |
$1$ |
|
$10$ |
$1161216$ |
$1.335674$ |
$22737343537/12665536$ |
$0.80422$ |
$3.04430$ |
$[1, 1, 0, -9974, 70036]$ |
\(y^2+xy=x^3+x^2-9974x+70036\) |
4684.2.0.? |
$[(-60, 706), (135, 1031)]$ |
| 395798.e1 |
395798e1 |
395798.e |
395798e |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( 2^{8} \cdot 13^{6} \cdot 1171 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4684$ |
$2$ |
$0$ |
$1.474912335$ |
$1$ |
|
$14$ |
$589824$ |
$1.214941$ |
$131794519969/299776$ |
$0.84804$ |
$3.18064$ |
$[1, 1, 0, -17917, 913853]$ |
\(y^2+xy=x^3+x^2-17917x+913853\) |
4684.2.0.? |
$[(83, 43), (-86, 1395)]$ |
| 395798.f1 |
395798f1 |
395798.f |
395798f |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{2} \cdot 13^{11} \cdot 1171^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30446$ |
$2$ |
$0$ |
$21.40017273$ |
$1$ |
|
$0$ |
$34352640$ |
$2.918530$ |
$1592034799443503247/2384775152727292$ |
$0.98946$ |
$4.48177$ |
$[1, -1, 0, 4111147, -4044723071]$ |
\(y^2+xy=x^3-x^2+4111147x-4044723071\) |
30446.2.0.? |
$[(20827936224/3259, 3686942257976765/3259)]$ |
| 395798.g1 |
395798g2 |
395798.g |
395798g |
$2$ |
$2$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( 2^{6} \cdot 13^{3} \cdot 1171^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$60892$ |
$12$ |
$0$ |
$3.348326947$ |
$1$ |
|
$0$ |
$779040$ |
$0.948737$ |
$3520826268597/87759424$ |
$0.92728$ |
$2.83851$ |
$[1, -1, 0, -4120, 100608]$ |
\(y^2+xy=x^3-x^2-4120x+100608\) |
2.3.0.a.1, 26.6.0.b.1, 4684.6.0.?, 60892.12.0.? |
$[(376/3, -824/3)]$ |
| 395798.g2 |
395798g1 |
395798.g |
395798g |
$2$ |
$2$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{12} \cdot 13^{3} \cdot 1171 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$60892$ |
$12$ |
$0$ |
$6.696653894$ |
$1$ |
|
$3$ |
$389520$ |
$0.602163$ |
$3176523/4796416$ |
$0.96702$ |
$2.36895$ |
$[1, -1, 0, 40, 4928]$ |
\(y^2+xy=x^3-x^2+40x+4928\) |
2.3.0.a.1, 52.6.0.c.1, 4684.6.0.?, 30446.6.0.?, 60892.12.0.? |
$[(2909, 155423)]$ |
| 395798.h1 |
395798h1 |
395798.h |
395798h |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( 2^{4} \cdot 13^{10} \cdot 1171 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4684$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$16128000$ |
$2.514946$ |
$40197418128703495009/535118896$ |
$0.92049$ |
$4.69638$ |
$[1, 0, 1, -12060858, -16122874116]$ |
\(y^2+xy+y=x^3-12060858x-16122874116\) |
4684.2.0.? |
$[]$ |
| 395798.i1 |
395798i1 |
395798.i |
395798i |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{2} \cdot 13^{9} \cdot 1171 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30446$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1274112$ |
$1.308136$ |
$-244140625/10290748$ |
$0.95072$ |
$3.02629$ |
$[1, 1, 0, -2200, -342324]$ |
\(y^2+xy=x^3+x^2-2200x-342324\) |
30446.2.0.? |
$[]$ |
| 395798.j1 |
395798j1 |
395798.j |
395798j |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{6} \cdot 13^{4} \cdot 1171^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$4684$ |
$4$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1220832$ |
$1.067007$ |
$108622324343/87759424$ |
$0.84617$ |
$2.76762$ |
$[1, 1, 0, 3039, -39307]$ |
\(y^2+xy=x^3+x^2+3039x-39307\) |
4.2.0.a.1, 4684.4.0.? |
$[]$ |
| 395798.k1 |
395798k1 |
395798.k |
395798k |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{3} \cdot 13^{6} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9368$ |
$2$ |
$0$ |
$10.03420723$ |
$1$ |
|
$0$ |
$610560$ |
$0.723509$ |
$3375/9368$ |
$0.85994$ |
$2.48197$ |
$[1, -1, 0, 53, -10243]$ |
\(y^2+xy=x^3-x^2+53x-10243\) |
9368.2.0.? |
$[(264697/48, 129197947/48)]$ |
| 395798.l1 |
395798l1 |
395798.l |
395798l |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( 2^{12} \cdot 13^{6} \cdot 1171 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4684$ |
$2$ |
$0$ |
$0.311996894$ |
$1$ |
|
$22$ |
$3870720$ |
$1.474255$ |
$3909217362777/4796416$ |
$0.89780$ |
$3.44365$ |
$[1, -1, 1, -55464, 5036139]$ |
\(y^2+xy+y=x^3-x^2-55464x+5036139\) |
4684.2.0.? |
$[(101, 625), (153, 261)]$ |
| 395798.m1 |
395798m1 |
395798.m |
395798m |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{14} \cdot 13^{7} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30446$ |
$2$ |
$0$ |
$0.177596125$ |
$1$ |
|
$8$ |
$2822400$ |
$1.575672$ |
$-22164361129/249413632$ |
$0.93153$ |
$3.27646$ |
$[1, 0, 0, -9890, 1710916]$ |
\(y^2+xy=x^3-9890x+1710916\) |
30446.2.0.? |
$[(196, 2606)]$ |
| 395798.n1 |
395798n1 |
395798.n |
395798n |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{4} \cdot 13^{8} \cdot 1171 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2342$ |
$2$ |
$0$ |
$1.750854053$ |
$1$ |
|
$10$ |
$1622400$ |
$1.218763$ |
$29225183/18736$ |
$0.78003$ |
$2.92584$ |
$[1, 0, 0, 5996, -58176]$ |
\(y^2+xy=x^3+5996x-58176\) |
2342.2.0.? |
$[(14, 162), (10, 48)]$ |
| 395798.o1 |
395798o3 |
395798.o |
395798o |
$3$ |
$9$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{54} \cdot 13^{7} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$274014$ |
$144$ |
$3$ |
$1.957869595$ |
$1$ |
|
$0$ |
$168521472$ |
$3.968319$ |
$-6044818473864897584091625/274233188509844242432$ |
$0.96824$ |
$5.62715$ |
$[1, 0, 0, -641366918, -6492323742620]$ |
\(y^2+xy=x^3-641366918x-6492323742620\) |
3.4.0.a.1, 9.12.0.a.1, 39.8.0-3.a.1.2, 117.24.0.?, 7026.8.0.?, $\ldots$ |
$[(907724/5, 529358722/5)]$ |
| 395798.o2 |
395798o1 |
395798.o |
395798o |
$3$ |
$9$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{6} \cdot 13^{15} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$274014$ |
$144$ |
$3$ |
$1.957869595$ |
$1$ |
|
$0$ |
$18724608$ |
$2.869709$ |
$-4989910628484015625/794743601010112$ |
$0.94509$ |
$4.55336$ |
$[1, 0, 0, -6016488, 6413883904]$ |
\(y^2+xy=x^3-6016488x+6413883904\) |
3.4.0.a.1, 9.12.0.a.1, 39.8.0-3.a.1.1, 117.24.0.?, 7026.8.0.?, $\ldots$ |
$[(45486/5, 4713094/5)]$ |
| 395798.o3 |
395798o2 |
395798.o |
395798o |
$3$ |
$9$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{18} \cdot 13^{9} \cdot 1171^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$274014$ |
$144$ |
$3$ |
$0.652623198$ |
$1$ |
|
$0$ |
$56173824$ |
$3.419014$ |
$1510256987478812234375/924784759817371648$ |
$0.99580$ |
$4.97773$ |
$[1, 0, 0, 40395137, -23819391207]$ |
\(y^2+xy=x^3+40395137x-23819391207\) |
3.12.0.a.1, 39.24.0-3.a.1.1, 7026.24.0.?, 10539.36.0.?, 21078.72.0.?, $\ldots$ |
$[(273974/5, 163967033/5)]$ |
| 395798.p1 |
395798p1 |
395798.p |
395798p |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{7} \cdot 13^{8} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9368$ |
$2$ |
$0$ |
$1.254015707$ |
$1$ |
|
$4$ |
$1524096$ |
$1.538296$ |
$-3779648905033/25331072$ |
$0.81470$ |
$3.44193$ |
$[1, 1, 1, -54844, 4949277]$ |
\(y^2+xy+y=x^3+x^2-54844x+4949277\) |
9368.2.0.? |
$[(135, 101)]$ |
| 395798.q1 |
395798q1 |
395798.q |
395798q |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( 2^{4} \cdot 13^{8} \cdot 1171 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4684$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1655808$ |
$1.224396$ |
$6826561273/3166384$ |
$0.76802$ |
$2.95095$ |
$[1, 1, 1, -6679, -96387]$ |
\(y^2+xy+y=x^3+x^2-6679x-96387\) |
4684.2.0.? |
$[]$ |
| 395798.r1 |
395798r2 |
395798.r |
395798r |
$2$ |
$2$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( 2^{6} \cdot 13^{9} \cdot 1171^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$60892$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10127520$ |
$2.231213$ |
$3520826268597/87759424$ |
$0.92728$ |
$4.03256$ |
$[1, -1, 1, -696312, 218946875]$ |
\(y^2+xy+y=x^3-x^2-696312x+218946875\) |
2.3.0.a.1, 26.6.0.b.1, 4684.6.0.?, 60892.12.0.? |
$[]$ |
| 395798.r2 |
395798r1 |
395798.r |
395798r |
$2$ |
$2$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{12} \cdot 13^{9} \cdot 1171 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$60892$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5063760$ |
$1.884638$ |
$3176523/4796416$ |
$0.96702$ |
$3.56300$ |
$[1, -1, 1, 6728, 10847035]$ |
\(y^2+xy+y=x^3-x^2+6728x+10847035\) |
2.3.0.a.1, 52.6.0.c.1, 4684.6.0.?, 30446.6.0.?, 60892.12.0.? |
$[]$ |
| 395798.s1 |
395798s1 |
395798.s |
395798s |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2 \cdot 13^{10} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9368$ |
$2$ |
$0$ |
$15.05937300$ |
$1$ |
|
$0$ |
$1628928$ |
$1.473488$ |
$115572468311/66889862$ |
$0.90614$ |
$3.17045$ |
$[1, 0, 0, 17150, -7814]$ |
\(y^2+xy=x^3+17150x-7814\) |
9368.2.0.? |
$[(34674513/368, 223004349263/368)]$ |
| 395798.t1 |
395798t2 |
395798.t |
395798t |
$2$ |
$3$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( 2^{18} \cdot 13^{8} \cdot 1171^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$182676$ |
$16$ |
$0$ |
$0.539153684$ |
$1$ |
|
$4$ |
$53996544$ |
$3.205780$ |
$124137466544322579817/71137289216720896$ |
$0.97070$ |
$4.78387$ |
$[1, 0, 0, -17563582, -2801147324]$ |
\(y^2+xy=x^3-17563582x-2801147324\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 4684.2.0.?, 14052.8.0.?, 182676.16.0.? |
$[(75180, 20543906)]$ |
| 395798.t2 |
395798t1 |
395798.t |
395798t |
$2$ |
$3$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( 2^{6} \cdot 13^{12} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$182676$ |
$16$ |
$0$ |
$1.617461054$ |
$1$ |
|
$4$ |
$17998848$ |
$2.656475$ |
$34150759536102366457/361740373696$ |
$0.91972$ |
$4.68373$ |
$[1, 0, 0, -11422967, 14858833001]$ |
\(y^2+xy=x^3-11422967x+14858833001\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 4684.2.0.?, 14052.8.0.?, 182676.16.0.? |
$[(8594, 738289)]$ |
| 395798.u1 |
395798u1 |
395798.u |
395798u |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( 2^{2} \cdot 13^{8} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4684$ |
$2$ |
$0$ |
$2.106803080$ |
$1$ |
|
$0$ |
$752640$ |
$1.143831$ |
$6321363049/791596$ |
$0.85660$ |
$2.94498$ |
$[1, 0, 0, -6510, 178424]$ |
\(y^2+xy=x^3-6510x+178424\) |
4684.2.0.? |
$[(355/2, 4039/2)]$ |
| 395798.v1 |
395798v1 |
395798.v |
395798v |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{6} \cdot 13^{10} \cdot 1171^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$60892$ |
$4$ |
$0$ |
$5.437241872$ |
$1$ |
|
$0$ |
$15870816$ |
$2.349483$ |
$108622324343/87759424$ |
$0.84617$ |
$3.96167$ |
$[1, 1, 1, 513503, -88925153]$ |
\(y^2+xy+y=x^3+x^2+513503x-88925153\) |
4.2.0.a.1, 60892.4.0.? |
$[(6211/2, 527761/2)]$ |
