Elliptic curves over $\Q$ of conductor 7220

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

Results (14 matches)

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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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
7220.a1	7220e1	7220.a	7220e	$1$	$1$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 5 \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1.134661353$	$1$		$2$	$1512$	$-0.056525$	$1245184/5$	$0.87552$	$2.86663$	$1$	$[0, 1, 0, -101, -425]$	\(y^2=x^3+x^2-101x-425\)	10.2.0.a.1	$[(-6, 1)]$	$1$
7220.b1	7220d1	7220.b	7220d	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{4} \cdot 5^{5} \cdot 19^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$40$	$48$	$0$	$13.17674800$	$1$		$1$	$86400$	$2.100594$	$5405726654464/407253125$	$0.99078$	$5.60044$	$2$	$[0, 1, 0, -332601, -68967860]$	\(y^2=x^3+x^2-332601x-68967860\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 10.6.0.a.1, 20.24.0.e.1, $\ldots$	$[(-7597779/166, 6225755821/166)]$	$1$
7220.b2	7220d2	7220.b	7220d	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{8} \cdot 5^{10} \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$40$	$48$	$0$	$26.35349601$	$1$		$1$	$172800$	$2.447166$	$298091207216/3525390625$	$0.96838$	$5.92031$	$1$	$[0, 1, 0, 319004, -305630796]$	\(y^2=x^3+x^2+319004x-305630796\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 20.12.0.d.1, 40.48.0-40.bc.1.1	$[(5035029020845/25066, 11323419022841566187/25066)]$	$1$
7220.c1	7220g2	7220.c	7220g	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 5 \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$7.961753932$	$1$		$3$	$36480$	$1.745747$	$7888624/5$	$0.82983$	$5.39428$	$1$	$[0, 1, 0, -180620, -29589980]$	\(y^2=x^3+x^2-180620x-29589980\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.?	$[(6984, 582590)]$	$1$
7220.c2	7220g1	7220.c	7220g	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$3.980876966$	$1$		$5$	$18240$	$1.399172$	$-16384/25$	$0.82449$	$4.53230$	$1$	$[0, 1, 0, -9145, -645000]$	\(y^2=x^3+x^2-9145x-645000\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[(125, 425)]$	$1$
7220.d1	7220b2	7220.d	7220b	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 5^{2} \cdot 19^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$0.743183163$	$1$		$5$	$17280$	$1.367060$	$472058064/475$	$0.91565$	$4.86059$	$1$	$[0, 0, 0, -37183, 2757318]$	\(y^2=x^3-37183x+2757318\)	2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.?	$[(-57, 2166)]$	$1$
7220.d2	7220b1	7220.d	7220b	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{4} \cdot 5 \cdot 19^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$1.486366327$	$1$		$3$	$8640$	$1.020485$	$3538944/1805$	$1.20155$	$3.99776$	$1$	$[0, 0, 0, -2888, 20577]$	\(y^2=x^3-2888x+20577\)	2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.?	$[(114, 1083)]$	$1$
7220.e1	7220a1	7220.e	7220a	$1$	$1$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 5 \cdot 19^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$10$	$2$	$0$	$1$	$1$		$0$	$28728$	$1.415695$	$1245184/5$	$0.87552$	$4.85508$	$1$	$[0, -1, 0, -36581, 2695841]$	\(y^2=x^3-x^2-36581x+2695841\)	10.2.0.a.1	$[ ]$	$1$
7220.f1	7220c3	7220.f	7220c	$4$	$6$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{4} \cdot 5^{3} \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.3, 3.4.0.1	2B, 3B	$2280$	$384$	$9$	$1.796827570$	$1$		$3$	$10368$	$1.091576$	$488095744/125$	$1.07376$	$4.55228$	$2$	$[0, -1, 0, -14921, 706370]$	\(y^2=x^3-x^2-14921x+706370\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$	$[(-101, 1083)]$	$1$
7220.f2	7220c4	7220.f	7220c	$4$	$6$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{8} \cdot 5^{6} \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.5, 3.4.0.1	2B, 3B	$2280$	$384$	$9$	$3.593655141$	$1$		$3$	$20736$	$1.438148$	$-20720464/15625$	$0.95894$	$4.60264$	$1$	$[0, -1, 0, -13116, 881816]$	\(y^2=x^3-x^2-13116x+881816\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$	$[(986, 30750)]$	$1$
7220.f3	7220c1	7220.f	7220c	$4$	$6$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{4} \cdot 5 \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.3, 3.4.0.1	2B, 3B	$2280$	$384$	$9$	$5.390482712$	$1$		$1$	$3456$	$0.542270$	$16384/5$	$0.95621$	$3.39275$	$2$	$[0, -1, 0, -481, -2634]$	\(y^2=x^3-x^2-481x-2634\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$	$[(3238/9, 146566/9)]$	$1$
7220.f4	7220c2	7220.f	7220c	$4$	$6$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{8} \cdot 5^{2} \cdot 19^{6} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	4.6.0.5, 3.4.0.1	2B, 3B	$2280$	$384$	$9$	$10.78096542$	$1$		$1$	$6912$	$0.888843$	$21296/25$	$0.83964$	$3.73750$	$1$	$[0, -1, 0, 1324, -19240]$	\(y^2=x^3-x^2+1324x-19240\)	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$	$[(90313/29, 28335510/29)]$	$1$
7220.g1	7220f2	7220.g	7220f	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( 2^{8} \cdot 5 \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$5.165137587$	$1$		$1$	$1920$	$0.273527$	$7888624/5$	$0.82983$	$3.40582$	$1$	$[0, -1, 0, -500, 4472]$	\(y^2=x^3-x^2-500x+4472\)	2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.?	$[(493/6, 505/6)]$	$1$
7220.g2	7220f1	7220.g	7220f	$2$	$2$	\( 2^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 5^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$380$	$12$	$0$	$2.582568793$	$1$		$1$	$960$	$-0.073047$	$-16384/25$	$0.82449$	$2.54384$	$1$	$[0, -1, 0, -25, 102]$	\(y^2=x^3-x^2-25x+102\)	2.3.0.a.1, 20.6.0.e.1, 38.6.0.b.1, 380.12.0.?	$[(21/2, 75/2)]$	$1$

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