Elliptic curves over $\Q$ of conductor 2320

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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
2320.a1	2320c2	2320.a	2320c	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29 \)	\( 2^{8} \cdot 5^{2} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$0.605471655$	$1$		$7$	$512$	$-0.029974$	$1650587344/725$	$0.83324$	$3.45444$	$[0, 1, 0, -156, 700]$	\(y^2=x^3+x^2-156x+700\)	2.3.0.a.1, 20.6.0.c.1, 58.6.0.a.1, 580.12.0.?	$[(6, 4)]$
2320.a2	2320c1	2320.a	2320c	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29 \)	\( 2^{4} \cdot 5 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.210943311$	$1$		$3$	$256$	$-0.376548$	$10061824/4205$	$0.80068$	$2.43852$	$[0, 1, 0, -11, 4]$	\(y^2=x^3+x^2-11x+4\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(0, 2)]$
2320.b1	2320b2	2320.b	2320b	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29 \)	\( 2^{8} \cdot 5^{3} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.117778150$	$1$		$5$	$768$	$0.356497$	$133649126224/105125$	$0.99931$	$4.02147$	$[0, 1, 0, -676, 6540]$	\(y^2=x^3+x^2-676x+6540\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(14, 4)]$
2320.b2	2320b1	2320.b	2320b	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29 \)	\( 2^{4} \cdot 5^{6} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$2.235556301$	$1$		$3$	$384$	$0.009924$	$934979584/453125$	$0.89403$	$3.02331$	$[0, 1, 0, -51, 40]$	\(y^2=x^3+x^2-51x+40\)	2.3.0.a.1, 20.6.0.c.1, 58.6.0.a.1, 580.12.0.?	$[(-4, 14)]$
2320.c1	2320g1	2320.c	2320g	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29 \)	\( 2^{4} \cdot 5^{2} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.537018530$	$1$		$3$	$96$	$-0.504648$	$3538944/725$	$0.87494$	$2.30368$	$[0, 0, 0, -8, 7]$	\(y^2=x^3-8x+7\)	2.3.0.a.1, 20.6.0.b.1, 58.6.0.a.1, 580.12.0.?	$[(-3, 2)]$
2320.c2	2320g2	2320.c	2320g	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29 \)	\( - 2^{8} \cdot 5 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$3.074037060$	$1$		$3$	$192$	$-0.158075$	$2122416/4205$	$0.84263$	$2.70972$	$[0, 0, 0, 17, 42]$	\(y^2=x^3+17x+42\)	2.3.0.a.1, 20.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(114, 1218)]$
2320.d1	2320e1	2320.d	2320e	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29 \)	\( 2^{20} \cdot 5^{3} \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$1160$	$48$	$0$	$1$	$1$		$1$	$1152$	$0.622519$	$38238692409/928000$	$0.97733$	$4.21777$	$[0, 0, 0, -1123, 14178]$	\(y^2=x^3-1123x+14178\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 290.6.0.?, 580.24.0.?, $\ldots$	$[]$
2320.d2	2320e2	2320.d	2320e	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29 \)	\( - 2^{16} \cdot 5^{6} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$1160$	$48$	$0$	$1$	$1$		$1$	$2304$	$0.969092$	$104487111/210250000$	$1.06799$	$4.50827$	$[0, 0, 0, 157, 44642]$	\(y^2=x^3+157x+44642\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 580.12.0.?, 1160.48.0.?	$[]$
2320.e1	2320f1	2320.e	2320f	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29 \)	\( 2^{12} \cdot 5 \cdot 29 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$1160$	$48$	$0$	$1$	$1$		$1$	$256$	$-0.143354$	$2146689/145$	$0.84440$	$2.95474$	$[0, 0, 0, -43, -102]$	\(y^2=x^3-43x-102\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 290.6.0.?, 580.24.0.?, $\ldots$	$[]$
2320.e2	2320f2	2320.e	2320f	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29 \)	\( - 2^{12} \cdot 5^{2} \cdot 29^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$1160$	$48$	$0$	$1$	$1$		$1$	$512$	$0.203219$	$1367631/21025$	$0.96200$	$3.31482$	$[0, 0, 0, 37, -438]$	\(y^2=x^3+37x-438\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 580.12.0.?, 1160.48.0.?	$[]$
2320.f1	2320d3	2320.f	2320d	$4$	$4$	\( 2^{4} \cdot 5 \cdot 29 \)	\( 2^{10} \cdot 5^{8} \cdot 29 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.47	2B	$2320$	$192$	$3$	$1.320913166$	$1$		$9$	$1024$	$0.649403$	$61085802564/11328125$	$1.13030$	$4.09933$	$[0, 0, 0, -827, 7546]$	\(y^2=x^3-827x+7546\)	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 58.6.0.a.1, 80.48.0.?, $\ldots$	$[(27, 70)]$
2320.f2	2320d2	2320.f	2320d	$4$	$4$	\( 2^{4} \cdot 5 \cdot 29 \)	\( 2^{8} \cdot 5^{4} \cdot 29^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.7	2Cs	$1160$	$192$	$3$	$2.641826332$	$1$		$5$	$512$	$0.302829$	$6509904336/525625$	$0.99437$	$3.63151$	$[0, 0, 0, -247, -1386]$	\(y^2=x^3-247x-1386\)	2.6.0.a.1, 4.24.0-4.a.1.1, 40.48.0-40.k.1.2, 116.48.0.?, 232.96.0.?, $\ldots$	$[(38, 210)]$
2320.f3	2320d1	2320.f	2320d	$4$	$4$	\( 2^{4} \cdot 5 \cdot 29 \)	\( 2^{4} \cdot 5^{2} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.57	2B	$2320$	$192$	$3$	$5.283652665$	$1$		$1$	$256$	$-0.043745$	$97960237056/725$	$1.25304$	$3.62360$	$[0, 0, 0, -242, -1449]$	\(y^2=x^3-242x-1449\)	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 58.6.0.a.1, 80.48.0.?, $\ldots$	$[(297/4, 1365/4)]$
2320.f4	2320d4	2320.f	2320d	$4$	$4$	\( 2^{4} \cdot 5 \cdot 29 \)	\( - 2^{10} \cdot 5^{2} \cdot 29^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.11	2B	$2320$	$192$	$3$	$5.283652665$	$1$		$5$	$1024$	$0.649403$	$1748981916/17682025$	$0.95607$	$4.00232$	$[0, 0, 0, 253, -6286]$	\(y^2=x^3+253x-6286\)	2.3.0.a.1, 4.24.0-4.d.1.1, 20.48.0-20.d.1.2, 232.48.0.?, 464.96.0.?, $\ldots$	$[(4915, 344578)]$
2320.g1	2320h1	2320.g	2320h	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29 \)	\( 2^{4} \cdot 5^{3} \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$0.938077455$	$1$		$3$	$288$	$-0.110812$	$226492416/105125$	$1.15496$	$2.84035$	$[0, 0, 0, -32, 31]$	\(y^2=x^3-32x+31\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(-3, 10)]$
2320.g2	2320h2	2320.g	2320h	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29 \)	\( - 2^{8} \cdot 5^{6} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.876154911$	$1$		$3$	$576$	$0.235762$	$623331504/453125$	$1.02485$	$3.32878$	$[0, 0, 0, 113, 234]$	\(y^2=x^3+113x+234\)	2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 580.12.0.?	$[(18, 90)]$
2320.h1	2320a2	2320.h	2320a	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29 \)	\( 2^{8} \cdot 5 \cdot 29^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$1.482200932$	$1$		$3$	$256$	$-0.126852$	$20720464/4205$	$0.76987$	$2.88952$	$[0, -1, 0, -36, 80]$	\(y^2=x^3-x^2-36x+80\)	2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.?	$[(-4, 12)]$
2320.h2	2320a1	2320.h	2320a	$2$	$2$	\( 2^{4} \cdot 5 \cdot 29 \)	\( 2^{4} \cdot 5^{2} \cdot 29 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$580$	$12$	$0$	$2.964401864$	$1$		$1$	$128$	$-0.473425$	$10061824/725$	$0.77107$	$2.43852$	$[0, -1, 0, -11, -10]$	\(y^2=x^3-x^2-11x-10\)	2.3.0.a.1, 20.6.0.c.1, 58.6.0.a.1, 580.12.0.?	$[(37/2, 195/2)]$

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