Elliptic curve search results

Results (15 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
19320.l4	19320t4	19320.l	19320t	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 7^{4} \cdot 23^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$6440$	$48$	$0$	$1.068769837$	$1$		$13$	$73728$	$1.541454$	$391353415004156/755885521125$	$0.93475$	$4.19309$	$[0, -1, 0, 15360, 1115100]$	\(y^2=x^3-x^2+15360x+1115100\)	2.3.0.a.1, 4.12.0-4.c.1.1, 20.24.0-20.h.1.2, 1288.24.0.?, 6440.48.0.?	$[(-10, 980)]$
38640.cr4	38640x3	38640.cr	38640x	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 7^{4} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$6440$	$48$	$0$	$2.246957701$	$1$		$3$	$147456$	$1.541454$	$391353415004156/755885521125$	$0.93475$	$3.91792$	$[0, 1, 0, 15360, -1115100]$	\(y^2=x^3+x^2+15360x-1115100\)	2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 1288.24.0.?, 6440.48.0.?	$[(255, 4410)]$
57960.s4	57960p3	57960.s	57960p	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{3} \cdot 7^{4} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$2.066166423$	$1$		$5$	$589824$	$2.090759$	$391353415004156/755885521125$	$0.93475$	$4.37409$	$[0, 0, 0, 138237, -30245938]$	\(y^2=x^3+138237x-30245938\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0.h.1, 60.24.0-20.h.1.2, $\ldots$	$[(199, 2268)]$
96600.bv4	96600y3	96600.bv	96600y	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{9} \cdot 7^{4} \cdot 23^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$6440$	$48$	$0$	$1$	$1$		$1$	$1769472$	$2.346172$	$391353415004156/755885521125$	$0.93475$	$4.44645$	$[0, 1, 0, 383992, 140155488]$	\(y^2=x^3+x^2+383992x+140155488\)	2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 1288.24.0.?, 6440.48.0.?	$[]$
115920.p4	115920s3	115920.p	115920s	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{3} \cdot 7^{4} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1.503393795$	$1$		$5$	$1179648$	$2.090759$	$391353415004156/755885521125$	$0.93475$	$4.11408$	$[0, 0, 0, 138237, 30245938]$	\(y^2=x^3+138237x+30245938\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0.h.1, 60.24.0-20.h.1.1, $\ldots$	$[(-109, 3726)]$
135240.ci4	135240u4	135240.ci	135240u	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 7^{10} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$6440$	$48$	$0$	$5.993729961$	$1$		$3$	$3538944$	$2.514408$	$391353415004156/755885521125$	$0.93475$	$4.49069$	$[0, 1, 0, 752624, -383984560]$	\(y^2=x^3+x^2+752624x-383984560\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 28.12.0-4.c.1.2, 140.24.0.?, $\ldots$	$[(424, 3396)]$
154560.o4	154560dq4	154560.o	154560dq	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{16} \cdot 3^{2} \cdot 5^{3} \cdot 7^{4} \cdot 23^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.7	2B	$6440$	$48$	$0$	$1$	$1$		$1$	$1179648$	$1.888027$	$391353415004156/755885521125$	$0.93475$	$3.81142$	$[0, -1, 0, 61439, -8982239]$	\(y^2=x^3-x^2+61439x-8982239\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0.h.1, 40.24.0-20.h.1.1, $\ldots$	$[]$
154560.fv4	154560ff3	154560.fv	154560ff	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{16} \cdot 3^{2} \cdot 5^{3} \cdot 7^{4} \cdot 23^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.8	2B	$6440$	$48$	$0$	$1$	$1$		$1$	$1179648$	$1.888027$	$391353415004156/755885521125$	$0.93475$	$3.81142$	$[0, 1, 0, 61439, 8982239]$	\(y^2=x^3+x^2+61439x+8982239\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0.h.1, 40.24.0-20.h.1.2, $\ldots$	$[]$
193200.cq4	193200ha4	193200.cq	193200ha	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{9} \cdot 7^{4} \cdot 23^{4} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$6440$	$48$	$0$	$3.754941561$	$1$		$7$	$3538944$	$2.346172$	$391353415004156/755885521125$	$0.93475$	$4.19323$	$[0, -1, 0, 383992, -140155488]$	\(y^2=x^3-x^2+383992x-140155488\)	2.3.0.a.1, 4.12.0-4.c.1.1, 20.24.0-20.h.1.2, 1288.24.0.?, 6440.48.0.?	$[(2102, 99750)]$
270480.bi4	270480bi3	270480.bi	270480bi	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 7^{10} \cdot 23^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$6440$	$48$	$0$	$1$	$1$		$1$	$7077888$	$2.514408$	$391353415004156/755885521125$	$0.93475$	$4.24184$	$[0, -1, 0, 752624, 383984560]$	\(y^2=x^3-x^2+752624x+383984560\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 28.12.0-4.c.1.1, 140.24.0.?, $\ldots$	$[]$
289800.bl4	289800bl4	289800.bl	289800bl	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{9} \cdot 7^{4} \cdot 23^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$14155776$	$2.895481$	$391353415004156/755885521125$	$0.93475$	$4.58216$	$[0, 0, 0, 3455925, -3780742250]$	\(y^2=x^3+3455925x-3780742250\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0.h.1, 60.24.0-20.h.1.1, $\ldots$	$[]$
405720.fu4	405720fu3	405720.fu	405720fu	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \)	\( - 2^{10} \cdot 3^{8} \cdot 5^{3} \cdot 7^{10} \cdot 23^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$28311552$	$3.063717$	$391353415004156/755885521125$	$0.93475$	$4.61910$	$[0, 0, 0, 6773613, 10374356734]$	\(y^2=x^3+6773613x+10374356734\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 84.12.0.?, 420.24.0.?, $\ldots$	$[]$
444360.e4	444360e4	444360.e	444360e	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \)	\( - 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 7^{4} \cdot 23^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$6440$	$48$	$0$	$8.203253414$	$1$		$3$	$38928384$	$3.109203$	$391353415004156/755885521125$	$0.93475$	$4.62876$	$[0, -1, 0, 8125264, -13632424260]$	\(y^2=x^3-x^2+8125264x-13632424260\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 56.12.0-4.c.1.5, 92.12.0.?, $\ldots$	$[(8590, 830620)]$
463680.jh4	463680jh3	463680.jh	463680jh	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{16} \cdot 3^{8} \cdot 5^{3} \cdot 7^{4} \cdot 23^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$0.695526680$	$1$		$11$	$9437184$	$2.437336$	$391353415004156/755885521125$	$0.93475$	$3.99571$	$[0, 0, 0, 552948, 241967504]$	\(y^2=x^3+552948x+241967504\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 24.12.0-4.c.1.1, 120.24.0.?, $\ldots$	$[(58, 16560)]$
463680.mw4	463680mw4	463680.mw	463680mw	$4$	$4$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \)	\( - 2^{16} \cdot 3^{8} \cdot 5^{3} \cdot 7^{4} \cdot 23^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$19320$	$48$	$0$	$1$	$1$		$1$	$9437184$	$2.437336$	$391353415004156/755885521125$	$0.93475$	$3.99571$	$[0, 0, 0, 552948, -241967504]$	\(y^2=x^3+552948x-241967504\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 24.12.0-4.c.1.2, 120.24.0.?, $\ldots$	$[]$