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 |
18515.i1 |
18515c1 |
18515.i |
18515c |
$1$ |
$1$ |
\( 5 \cdot 7 \cdot 23^{2} \) |
\( - 5 \cdot 7^{9} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$4292352$ |
$3.315323$ |
$-48181043296511332209/201768035$ |
$1.02977$ |
$7.16497$ |
$[1, -1, 1, -324333438, 2248285015576]$ |
\(y^2+xy+y=x^3-x^2-324333438x+2248285015576\) |
70.2.0.a.1 |
$[]$ |
18515.j1 |
18515p1 |
18515.j |
18515p |
$1$ |
$1$ |
\( 5 \cdot 7 \cdot 23^{2} \) |
\( - 5 \cdot 7^{9} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$186624$ |
$1.747578$ |
$-48181043296511332209/201768035$ |
$1.02977$ |
$5.25043$ |
$[1, -1, 1, -613107, -184625546]$ |
\(y^2+xy+y=x^3-x^2-613107x-184625546\) |
70.2.0.a.1 |
$[]$ |
92575.q1 |
92575h1 |
92575.q |
92575h |
$1$ |
$1$ |
\( 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 5^{7} \cdot 7^{9} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$4478976$ |
$2.552296$ |
$-48181043296511332209/201768035$ |
$1.02977$ |
$5.35592$ |
$[1, -1, 0, -15327667, -23093520884]$ |
\(y^2+xy=x^3-x^2-15327667x-23093520884\) |
70.2.0.a.1 |
$[]$ |
92575.t1 |
92575u1 |
92575.t |
92575u |
$1$ |
$1$ |
\( 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 5^{7} \cdot 7^{9} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.634885130$ |
$1$ |
|
$0$ |
$103016448$ |
$4.120041$ |
$-48181043296511332209/201768035$ |
$1.02977$ |
$7.00102$ |
$[1, -1, 0, -8108335942, 281027518611091]$ |
\(y^2+xy=x^3-x^2-8108335942x+281027518611091\) |
70.2.0.a.1 |
$[(206311/2, 1089739/2)]$ |
129605.c1 |
129605l1 |
129605.c |
129605l |
$1$ |
$1$ |
\( 5 \cdot 7^{2} \cdot 23^{2} \) |
\( - 5 \cdot 7^{15} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$2.344029010$ |
$1$ |
|
$2$ |
$8957952$ |
$2.720531$ |
$-48181043296511332209/201768035$ |
$1.02977$ |
$5.37433$ |
$[1, -1, 1, -30042228, 63386646642]$ |
\(y^2+xy+y=x^3-x^2-30042228x+63386646642\) |
70.2.0.a.1 |
$[(3166, -1461)]$ |
129605.d1 |
129605bd1 |
129605.d |
129605bd |
$1$ |
$1$ |
\( 5 \cdot 7^{2} \cdot 23^{2} \) |
\( - 5 \cdot 7^{15} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$206032896$ |
$4.288277$ |
$-48181043296511332209/201768035$ |
$1.02977$ |
$6.97241$ |
$[1, -1, 1, -15892338447, -771129975665766]$ |
\(y^2+xy+y=x^3-x^2-15892338447x-771129975665766\) |
70.2.0.a.1 |
$[]$ |
166635.bm1 |
166635bq1 |
166635.bm |
166635bq |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7^{9} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$3.968540842$ |
$1$ |
|
$2$ |
$2612736$ |
$2.296883$ |
$-48181043296511332209/201768035$ |
$1.02977$ |
$4.83918$ |
$[1, -1, 0, -5517960, 4990407695]$ |
\(y^2+xy=x^3-x^2-5517960x+4990407695\) |
70.2.0.a.1 |
$[(1358, -581), (1568231/34, -26280569/34)]$ |
166635.bv1 |
166635bm1 |
166635.bv |
166635bm |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7^{9} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$0$ |
$60092928$ |
$3.864632$ |
$-48181043296511332209/201768035$ |
$1.02977$ |
$6.40385$ |
$[1, -1, 0, -2919000939, -60700776419620]$ |
\(y^2+xy=x^3-x^2-2919000939x-60700776419620\) |
70.2.0.a.1 |
$[]$ |
296240.b1 |
296240b1 |
296240.b |
296240b |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{12} \cdot 5 \cdot 7^{9} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$274710528$ |
$4.008469$ |
$-48181043296511332209/201768035$ |
$1.02977$ |
$6.24841$ |
$[0, 0, 0, -5189335003, -143885051661878]$ |
\(y^2=x^3-5189335003x-143885051661878\) |
70.2.0.a.1 |
$[]$ |
296240.d1 |
296240d1 |
296240.d |
296240d |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 2^{12} \cdot 5 \cdot 7^{9} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11943936$ |
$2.440723$ |
$-48181043296511332209/201768035$ |
$1.02977$ |
$4.75519$ |
$[0, 0, 0, -9809707, 11825844634]$ |
\(y^2=x^3-9809707x+11825844634\) |
70.2.0.a.1 |
$[]$ |