Elliptic curves over $\Q$ of conductor 23660

Results (15 matches)

 

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
23660.a1	23660f1	23660.a	23660f	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 5^{5} \cdot 7 \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$3.508765764$	$1$		$2$	$65520$	$1.454588$	$1703936/21875$	$0.91437$	$4.04048$	$[0, -1, 0, 5859, 792466]$	\(y^2=x^3-x^2+5859x+792466\)	70.2.0.a.1	$[(958, 29744)]$
23660.b1	23660h1	23660.b	23660h	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 5^{5} \cdot 7 \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.167384393$	$1$		$8$	$5040$	$0.172113$	$1703936/21875$	$0.91437$	$2.51244$	$[0, -1, 0, 35, 350]$	\(y^2=x^3-x^2+35x+350\)	70.2.0.a.1	$[(5, 25)]$
23660.c1	23660a1	23660.c	23660a	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{8} \cdot 5^{5} \cdot 7 \cdot 13^{4} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$19440$	$0.839249$	$37380096/21875$	$1.26302$	$3.30055$	$[0, 0, 0, 1352, -2028]$	\(y^2=x^3+1352x-2028\)	70.2.0.a.1	$[]$
23660.d1	23660i1	23660.d	23660i	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{8} \cdot 5^{5} \cdot 7 \cdot 13^{10} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$252720$	$2.121723$	$37380096/21875$	$1.26302$	$4.82859$	$[0, 0, 0, 228488, -4455516]$	\(y^2=x^3+228488x-4455516\)	70.2.0.a.1	$[]$
23660.e1	23660b2	23660.e	23660b	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{3} \cdot 13^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2730$	$16$	$0$	$1$	$1$		$0$	$84240$	$1.540022$	$-225637236736/1715$	$1.02937$	$4.67427$	$[0, 1, 0, -136101, -19371481]$	\(y^2=x^3+x^2-136101x-19371481\)	3.4.0.a.1, 39.8.0-3.a.1.2, 70.2.0.a.1, 210.8.0.?, 2730.16.0.?	$[]$
23660.e2	23660b1	23660.e	23660b	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{8} \cdot 5^{3} \cdot 7 \cdot 13^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2730$	$16$	$0$	$1$	$1$		$0$	$28080$	$0.990716$	$-65536/875$	$0.97204$	$3.49562$	$[0, 1, 0, -901, -51401]$	\(y^2=x^3+x^2-901x-51401\)	3.4.0.a.1, 39.8.0-3.a.1.1, 70.2.0.a.1, 210.8.0.?, 2730.16.0.?	$[]$
23660.f1	23660c1	23660.f	23660c	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{8} \cdot 5^{3} \cdot 7^{3} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2730$	$16$	$0$	$1$	$1$		$0$	$11664$	$0.619314$	$-7339810816/42875$	$0.88800$	$3.31644$	$[0, 1, 0, -1421, 20255]$	\(y^2=x^3+x^2-1421x+20255\)	3.4.0.a.1, 39.8.0-3.a.1.1, 70.2.0.a.1, 210.8.0.?, 2730.16.0.?	$[]$
23660.f2	23660c2	23660.f	23660c	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{9} \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$2730$	$16$	$0$	$1$	$1$		$0$	$34992$	$1.168621$	$137915408384/201768035$	$0.95151$	$3.64879$	$[0, 1, 0, 3779, 111775]$	\(y^2=x^3+x^2+3779x+111775\)	3.4.0.a.1, 39.8.0-3.a.1.2, 70.2.0.a.1, 210.8.0.?, 2730.16.0.?	$[]$
23660.g1	23660e1	23660.g	23660e	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 5 \cdot 7^{7} \cdot 13^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$0.303380071$	$1$		$4$	$11088$	$0.607660$	$109051904/4117715$	$1.07916$	$3.03554$	$[0, 1, 0, 139, 5084]$	\(y^2=x^3+x^2+139x+5084\)	70.2.0.a.1	$[(47, 343)]$
23660.h1	23660g1	23660.h	23660g	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 5 \cdot 7^{7} \cdot 13^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$21.88283765$	$1$		$0$	$144144$	$1.890135$	$109051904/4117715$	$1.07916$	$4.56358$	$[0, 1, 0, 23435, 11075728]$	\(y^2=x^3+x^2+23435x+11075728\)	70.2.0.a.1	$[(1294144128/2789, 96063536606348/2789)]$
23660.i1	23660j1	23660.i	23660j	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{8} \cdot 5^{3} \cdot 7^{3} \cdot 13^{8} \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$210$	$16$	$0$	$1$	$1$		$2$	$151632$	$1.901789$	$-7339810816/42875$	$0.88800$	$4.84448$	$[0, 1, 0, -240205, 45460975]$	\(y^2=x^3+x^2-240205x+45460975\)	3.8.0-3.a.1.2, 70.2.0.a.1, 210.16.0.?	$[]$
23660.i2	23660j2	23660.i	23660j	$2$	$3$	\( 2^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{9} \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$210$	$16$	$0$	$1$	$1$		$0$	$454896$	$2.451096$	$137915408384/201768035$	$0.95151$	$5.17683$	$[0, 1, 0, 638595, 243015215]$	\(y^2=x^3+x^2+638595x+243015215\)	3.8.0-3.a.1.1, 70.2.0.a.1, 210.16.0.?	$[]$
23660.j1	23660d1	23660.j	23660d	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 5^{3} \cdot 7 \cdot 13^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$12528$	$0.102792$	$-368050176/875$	$0.98971$	$2.74341$	$[0, 0, 0, -208, 1157]$	\(y^2=x^3-208x+1157\)	70.2.0.a.1	$[]$
23660.k1	23660k1	23660.k	23660k	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{4} \cdot 5^{3} \cdot 7 \cdot 13^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$162864$	$1.385267$	$-368050176/875$	$0.98971$	$4.27144$	$[0, 0, 0, -35152, 2541929]$	\(y^2=x^3-35152x+2541929\)	70.2.0.a.1	$[]$
23660.l1	23660l1	23660.l	23660l	$1$	$1$	\( 2^{2} \cdot 5 \cdot 7 \cdot 13^{2} \)	\( - 2^{8} \cdot 5 \cdot 7^{5} \cdot 13^{6} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$70$	$2$	$0$	$1$	$1$		$0$	$134640$	$1.371408$	$14155776/84035$	$1.21697$	$3.93445$	$[0, 0, 0, 5408, 465764]$	\(y^2=x^3+5408x+465764\)	70.2.0.a.1	$[]$