Elliptic curve search results

Results (11 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
4102.e1	4102d1	4102.e	4102d	$1$	$1$	\( 2 \cdot 7 \cdot 293 \)	\( - 2^{16} \cdot 7 \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$4102$	$2$	$0$	$0.371481831$	$1$		$6$	$1024$	$0.243663$	$-23912763841/134414336$	$0.93417$	$3.15764$	$[1, 1, 1, -60, -611]$	\(y^2+xy+y=x^3+x^2-60x-611\)	4102.2.0.?	$[(13, 25)]$
28714.e1	28714e1	28714.e	28714e	$1$	$1$	\( 2 \cdot 7^{2} \cdot 293 \)	\( - 2^{16} \cdot 7^{7} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4102$	$2$	$0$	$0.462077880$	$1$		$4$	$49152$	$1.216618$	$-23912763841/134414336$	$0.93417$	$3.69645$	$[1, 0, 0, -2941, 200689]$	\(y^2+xy=x^3-2941x+200689\)	4102.2.0.?	$[(18, 383)]$
32816.k1	32816p1	32816.k	32816p	$1$	$1$	\( 2^{4} \cdot 7 \cdot 293 \)	\( - 2^{28} \cdot 7 \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4102$	$2$	$0$	$1$	$1$		$0$	$24576$	$0.936810$	$-23912763841/134414336$	$0.93417$	$3.32609$	$[0, 1, 0, -960, 37172]$	\(y^2=x^3+x^2-960x+37172\)	4102.2.0.?	$[]$
36918.b1	36918b1	36918.b	36918b	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7 \cdot 293 \)	\( - 2^{16} \cdot 3^{6} \cdot 7 \cdot 293 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4102$	$2$	$0$	$3.341077147$	$1$		$8$	$30720$	$0.792969$	$-23912763841/134414336$	$0.93417$	$3.12471$	$[1, -1, 0, -540, 15952]$	\(y^2+xy=x^3-x^2-540x+15952\)	4102.2.0.?	$[(24, 116), (472/3, 9020/3)]$
102550.n1	102550i1	102550.n	102550i	$1$	$1$	\( 2 \cdot 5^{2} \cdot 7 \cdot 293 \)	\( - 2^{16} \cdot 5^{6} \cdot 7 \cdot 293 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4102$	$2$	$0$	$14.84752026$	$1$		$4$	$143360$	$1.048382$	$-23912763841/134414336$	$0.93417$	$3.11366$	$[1, 0, 1, -1501, -73352]$	\(y^2+xy+y=x^3-1501x-73352\)	4102.2.0.?	$[(131, 1342), (587/2, 12967/2)]$
131264.k1	131264g1	131264.k	131264g	$1$	$1$	\( 2^{6} \cdot 7 \cdot 293 \)	\( - 2^{34} \cdot 7 \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4102$	$2$	$0$	$4.820598127$	$1$		$2$	$196608$	$1.283384$	$-23912763841/134414336$	$0.93417$	$3.28773$	$[0, -1, 0, -3841, 301217]$	\(y^2=x^3-x^2-3841x+301217\)	4102.2.0.?	$[(-56, 581)]$
131264.w1	131264z1	131264.w	131264z	$1$	$1$	\( 2^{6} \cdot 7 \cdot 293 \)	\( - 2^{34} \cdot 7 \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4102$	$2$	$0$	$13.67786829$	$1$		$0$	$196608$	$1.283384$	$-23912763841/134414336$	$0.93417$	$3.28773$	$[0, 1, 0, -3841, -301217]$	\(y^2=x^3+x^2-3841x-301217\)	4102.2.0.?	$[(653634/67, 450927479/67)]$
229712.j1	229712f1	229712.j	229712f	$1$	$1$	\( 2^{4} \cdot 7^{2} \cdot 293 \)	\( - 2^{28} \cdot 7^{7} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4102$	$2$	$0$	$1.162717282$	$1$		$4$	$1179648$	$1.909765$	$-23912763841/134414336$	$0.93417$	$3.74759$	$[0, -1, 0, -47056, -12844096]$	\(y^2=x^3-x^2-47056x-12844096\)	4102.2.0.?	$[(2168, 100352)]$
258426.q1	258426q1	258426.q	258426q	$1$	$1$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 293 \)	\( - 2^{16} \cdot 3^{6} \cdot 7^{7} \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4102$	$2$	$0$	$1$	$4$	$2$	$0$	$1474560$	$1.765924$	$-23912763841/134414336$	$0.93417$	$3.57366$	$[1, -1, 0, -26469, -5418603]$	\(y^2+xy=x^3-x^2-26469x-5418603\)	4102.2.0.?	$[]$
295344.q1	295344q1	295344.q	295344q	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 293 \)	\( - 2^{28} \cdot 3^{6} \cdot 7 \cdot 293 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4102$	$2$	$0$	$1$	$1$		$0$	$737280$	$1.486116$	$-23912763841/134414336$	$0.93417$	$3.26921$	$[0, 0, 0, -8643, -1012286]$	\(y^2=x^3-8643x-1012286\)	4102.2.0.?	$[]$
496342.e1	496342e1	496342.e	496342e	$1$	$1$	\( 2 \cdot 7 \cdot 11^{2} \cdot 293 \)	\( - 2^{16} \cdot 7 \cdot 11^{6} \cdot 293 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$4102$	$2$	$0$	$2.379516255$	$1$		$2$	$1474560$	$1.442610$	$-23912763841/134414336$	$0.93417$	$3.10000$	$[1, 1, 0, -7262, 776692]$	\(y^2+xy=x^3+x^2-7262x+776692\)	4102.2.0.?	$[(-84, 938)]$