Elliptic curve search results

Results (14 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
45080.j1	45080m1	45080.j	45080m	$1$	$1$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 5 \cdot 7^{10} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$4.563674853$	$1$		$2$	$90048$	$1.273705$	$-196/115$	$0.77858$	$3.60120$	$[0, 1, 0, -800, 277360]$	\(y^2=x^3+x^2-800x+277360\)	230.2.0.?	$[(228, 3464)]$
45080.bd1	45080a1	45080.bd	45080a	$1$	$1$	\( 2^{3} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 5 \cdot 7^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$4.886819246$	$1$		$0$	$12864$	$0.300749$	$-196/115$	$0.77858$	$2.51169$	$[0, -1, 0, -16, -804]$	\(y^2=x^3-x^2-16x-804\)	230.2.0.?	$[(322/3, 5608/3)]$
90160.c1	90160b1	90160.c	90160b	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 5 \cdot 7^{4} \cdot 23 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$0.399780940$	$1$		$18$	$25728$	$0.300749$	$-196/115$	$0.77858$	$2.35910$	$[0, 1, 0, -16, 804]$	\(y^2=x^3+x^2-16x+804\)	230.2.0.?	$[(2, 28), (16, 70)]$
90160.cz1	90160bj1	90160.cz	90160bj	$1$	$1$	\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 5 \cdot 7^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$4$	$2$	$0$	$180096$	$1.273705$	$-196/115$	$0.77858$	$3.38242$	$[0, -1, 0, -800, -277360]$	\(y^2=x^3-x^2-800x-277360\)	230.2.0.?	$[]$
225400.s1	225400n1	225400.s	225400n	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 5^{7} \cdot 7^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$0.725844140$	$1$		$2$	$308736$	$1.105469$	$-196/115$	$0.77858$	$2.96718$	$[0, 1, 0, -408, -101312]$	\(y^2=x^3+x^2-408x-101312\)	230.2.0.?	$[(128, 1400)]$
225400.co1	225400bh1	225400.co	225400bh	$1$	$1$	\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 5^{7} \cdot 7^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$2161152$	$2.078423$	$-196/115$	$0.77858$	$3.91443$	$[0, -1, 0, -20008, 34710012]$	\(y^2=x^3-x^2-20008x+34710012\)	230.2.0.?	$[]$
360640.x1	360640x1	360640.x	360640x	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{16} \cdot 5 \cdot 7^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$1440768$	$1.620277$	$-196/115$	$0.77858$	$3.34099$	$[0, 1, 0, -3201, -2222081]$	\(y^2=x^3+x^2-3201x-2222081\)	230.2.0.?	$[]$
360640.bm1	360640bm1	360640.bm	360640bm	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{16} \cdot 5 \cdot 7^{4} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$205824$	$0.647323$	$-196/115$	$0.77858$	$2.42853$	$[0, 1, 0, -65, -6497]$	\(y^2=x^3+x^2-65x-6497\)	230.2.0.?	$[]$
360640.gv1	360640gv1	360640.gv	360640gv	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{16} \cdot 5 \cdot 7^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$1440768$	$1.620277$	$-196/115$	$0.77858$	$3.34099$	$[0, -1, 0, -3201, 2222081]$	\(y^2=x^3-x^2-3201x+2222081\)	230.2.0.?	$[]$
360640.in1	360640in1	360640.in	360640in	$1$	$1$	\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{16} \cdot 5 \cdot 7^{4} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$205824$	$0.647323$	$-196/115$	$0.77858$	$2.42853$	$[0, -1, 0, -65, 6497]$	\(y^2=x^3-x^2-65x+6497\)	230.2.0.?	$[]$
405720.bb1	405720bb1	405720.bb	405720bb	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{6} \cdot 5 \cdot 7^{10} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$10.88881258$	$1$		$2$	$2161152$	$1.823009$	$-196/115$	$0.77858$	$3.49891$	$[0, 0, 0, -7203, -7495922]$	\(y^2=x^3-7203x-7495922\)	230.2.0.?	$[(160598, 64359126)]$
405720.eo1	405720eo1	405720.eo	405720eo	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{6} \cdot 5 \cdot 7^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$2.794595542$	$1$		$2$	$308736$	$0.850056$	$-196/115$	$0.77858$	$2.59478$	$[0, 0, 0, -147, 21854]$	\(y^2=x^3-147x+21854\)	230.2.0.?	$[(-26, 90)]$
450800.q1	450800q1	450800.q	450800q	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 5^{7} \cdot 7^{10} \cdot 23 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1$	$1$		$0$	$4322304$	$2.078423$	$-196/115$	$0.77858$	$3.70602$	$[0, 1, 0, -20008, -34710012]$	\(y^2=x^3+x^2-20008x-34710012\)	230.2.0.?	$[]$
450800.fo1	450800fo1	450800.fo	450800fo	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 5^{7} \cdot 7^{4} \cdot 23 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$230$	$2$	$0$	$1.308409254$	$1$		$2$	$617472$	$1.105469$	$-196/115$	$0.77858$	$2.80920$	$[0, -1, 0, -408, 101312]$	\(y^2=x^3-x^2-408x+101312\)	230.2.0.?	$[(-28, 300)]$