Elliptic curves over $\Q$ of conductor 1400

Results (18 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	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
1400.a1	1400h2	1400.a	1400h	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{11} \cdot 5^{6} \cdot 7^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$1$	$1$		$1$	$640$	$0.570050$	$3543122/49$	$[0, 1, 0, -1008, -12512]$	\(y^2=x^3+x^2-1008x-12512\)
1400.a2	1400h1	1400.a	1400h	$2$	$2$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( - 2^{10} \cdot 5^{6} \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.1	2B	$1$	$1$		$1$	$320$	$0.223477$	$-4/7$	$[0, 1, 0, -8, -512]$	\(y^2=x^3+x^2-8x-512\)
1400.b1	1400n1	1400.b	1400n	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 5^{4} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.106620360$	$1$		$8$	$144$	$-0.375566$	$-6400/7$	$[0, 1, 0, -8, 13]$	\(y^2=x^3+x^2-8x+13\)
1400.c1	1400k1	1400.c	1400k	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 5^{2} \cdot 7^{5} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.213996967$	$1$		$6$	$240$	$-0.002440$	$-6288640/16807$	$[0, 1, 0, -28, -147]$	\(y^2=x^3+x^2-28x-147\)
1400.d1	1400f1	1400.d	1400f	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( - 2^{8} \cdot 5^{3} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.055830152$	$1$		$12$	$192$	$0.030070$	$1024/343$	$[0, -1, 0, 7, 157]$	\(y^2=x^3-x^2+7x+157\)
1400.e1	1400b1	1400.e	1400b	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( - 2^{11} \cdot 5^{2} \cdot 7^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$1$	$1$		$0$	$288$	$0.077476$	$-10303010/49$	$[0, -1, 0, -168, -788]$	\(y^2=x^3-x^2-168x-788\)
1400.f1	1400g1	1400.f	1400g	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 5^{10} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$720$	$0.743211$	$172800/343$	$[0, 0, 0, 625, 9375]$	\(y^2=x^3+625x+9375\)
1400.g1	1400a4	1400.g	1400a	$4$	$4$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{11} \cdot 5^{6} \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$1$	$1$		$1$	$1024$	$0.802686$	$1443468546/7$	$[0, 0, 0, -7475, 248750]$	\(y^2=x^3-7475x+248750\)
1400.g2	1400a3	1400.g	1400a	$4$	$4$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{11} \cdot 5^{6} \cdot 7^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.15	2B	$1$	$1$		$1$	$1024$	$0.802686$	$11090466/2401$	$[0, 0, 0, -1475, -17250]$	\(y^2=x^3-1475x-17250\)
1400.g3	1400a2	1400.g	1400a	$4$	$4$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( 2^{10} \cdot 5^{6} \cdot 7^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.3	2Cs	$1$	$1$		$3$	$512$	$0.456112$	$740772/49$	$[0, 0, 0, -475, 3750]$	\(y^2=x^3-475x+3750\)
1400.g4	1400a1	1400.g	1400a	$4$	$4$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( - 2^{8} \cdot 5^{6} \cdot 7 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.9	2B	$1$	$1$		$1$	$256$	$0.109539$	$432/7$	$[0, 0, 0, 25, 250]$	\(y^2=x^3+25x+250\)
1400.h1	1400e1	1400.h	1400e	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 5^{4} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.260599409$	$1$		$6$	$144$	$-0.061508$	$172800/343$	$[0, 0, 0, 25, 75]$	\(y^2=x^3+25x+75\)
1400.i1	1400m1	1400.i	1400m	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( - 2^{11} \cdot 5^{8} \cdot 7^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$2$	8.2.0.1		$1.675433852$	$1$		$2$	$1440$	$0.882195$	$-10303010/49$	$[0, 1, 0, -4208, -106912]$	\(y^2=x^3+x^2-4208x-106912\)
1400.j1	1400l1	1400.j	1400l	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( - 2^{8} \cdot 5^{9} \cdot 7^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.946553385$	$1$		$4$	$960$	$0.834789$	$1024/343$	$[0, 1, 0, 167, 19963]$	\(y^2=x^3+x^2+167x+19963\)
1400.k1	1400j1	1400.k	1400j	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( - 2^{8} \cdot 5^{7} \cdot 7 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.247646181$	$1$		$4$	$384$	$0.243388$	$-1024/35$	$[0, 1, 0, -33, 563]$	\(y^2=x^3+x^2-33x+563\)
1400.l1	1400d1	1400.l	1400d	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 5^{8} \cdot 7^{5} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$1200$	$0.802279$	$-6288640/16807$	$[0, -1, 0, -708, -16963]$	\(y^2=x^3-x^2-708x-16963\)
1400.m1	1400c1	1400.m	1400c	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( - 2^{4} \cdot 5^{10} \cdot 7 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$720$	$0.429152$	$-6400/7$	$[0, -1, 0, -208, 2037]$	\(y^2=x^3-x^2-208x+2037\)
1400.n1	1400i1	1400.n	1400i	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7 \)	\( - 2^{8} \cdot 5^{11} \cdot 7^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$5760$	$1.196188$	$-30211716096/1071875$	$[0, 0, 0, -10300, 414500]$	\(y^2=x^3-10300x+414500\)