Elliptic curve search results

Results (18 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	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
3950.c1	3950e1	3950.c	3950e	$2$	$3$	\( 2 \cdot 5^{2} \cdot 79 \)	\( - 2^{3} \cdot 5^{10} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$9480$	$16$	$0$	$1$	$1$		$0$	$3480$	$0.631427$	$-9725425/632$	$0.80343$	$3.89919$	$[1, 1, 0, -950, 11500]$	\(y^2+xy=x^3+x^2-950x+11500\)	3.4.0.a.1, 15.8.0-3.a.1.2, 632.2.0.?, 1896.8.0.?, 9480.16.0.?	$[ ]$
3950.h1	3950j1	3950.h	3950j	$2$	$3$	\( 2 \cdot 5^{2} \cdot 79 \)	\( - 2^{3} \cdot 5^{4} \cdot 79 \)	$0$	$\Z/3\Z$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.1	3B.1.1	$1896$	$16$	$0$	$1$	$1$		$2$	$696$	$-0.173292$	$-9725425/632$	$0.80343$	$2.73314$	$[1, 0, 0, -38, 92]$	\(y^2+xy=x^3-38x+92\)	3.8.0-3.a.1.2, 632.2.0.?, 1896.16.0.?	$[ ]$
31600.m1	31600x1	31600.m	31600x	$2$	$3$	\( 2^{4} \cdot 5^{2} \cdot 79 \)	\( - 2^{15} \cdot 5^{4} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1896$	$16$	$0$	$0.851159336$	$1$		$4$	$16704$	$0.519855$	$-9725425/632$	$0.80343$	$2.98740$	$[0, -1, 0, -608, -5888]$	\(y^2=x^3-x^2-608x-5888\)	3.4.0.a.1, 12.8.0-3.a.1.1, 632.2.0.?, 1896.16.0.?	$[(32, 80)]$
31600.r1	31600h1	31600.r	31600h	$2$	$3$	\( 2^{4} \cdot 5^{2} \cdot 79 \)	\( - 2^{15} \cdot 5^{10} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$9480$	$16$	$0$	$1$	$1$		$0$	$83520$	$1.324574$	$-9725425/632$	$0.80343$	$3.91943$	$[0, 1, 0, -15208, -766412]$	\(y^2=x^3+x^2-15208x-766412\)	3.4.0.a.1, 60.8.0-3.a.1.2, 632.2.0.?, 1896.8.0.?, 9480.16.0.?	$[ ]$
35550.b1	35550z1	35550.b	35550z	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( - 2^{3} \cdot 3^{6} \cdot 5^{4} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.8.0.2	3B.1.2	$1896$	$16$	$0$	$1$	$1$		$0$	$20880$	$0.376014$	$-9725425/632$	$0.80343$	$2.78910$	$[1, -1, 0, -342, -2484]$	\(y^2+xy=x^3-x^2-342x-2484\)	3.8.0-3.a.1.1, 632.2.0.?, 1896.16.0.?	$[ ]$
35550.cf1	35550ca1	35550.cf	35550ca	$2$	$3$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( - 2^{3} \cdot 3^{6} \cdot 5^{10} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$9480$	$16$	$0$	$1$	$9$	$3$	$0$	$104400$	$1.180733$	$-9725425/632$	$0.80343$	$3.71065$	$[1, -1, 1, -8555, -319053]$	\(y^2+xy+y=x^3-x^2-8555x-319053\)	3.4.0.a.1, 15.8.0-3.a.1.1, 632.2.0.?, 1896.8.0.?, 9480.16.0.?	$[ ]$
126400.o1	126400bm1	126400.o	126400bm	$2$	$3$	\( 2^{6} \cdot 5^{2} \cdot 79 \)	\( - 2^{21} \cdot 5^{10} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$9480$	$16$	$0$	$1$	$1$		$0$	$668160$	$1.671148$	$-9725425/632$	$0.80343$	$3.81092$	$[0, -1, 0, -60833, -6070463]$	\(y^2=x^3-x^2-60833x-6070463\)	3.4.0.a.1, 120.8.0.?, 632.2.0.?, 1896.8.0.?, 4740.8.0.?, $\ldots$	$[ ]$
126400.p1	126400bf1	126400.p	126400bf	$2$	$3$	\( 2^{6} \cdot 5^{2} \cdot 79 \)	\( - 2^{21} \cdot 5^{4} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1896$	$16$	$0$	$0.885870911$	$1$		$4$	$133632$	$0.866428$	$-9725425/632$	$0.80343$	$2.98889$	$[0, -1, 0, -2433, 49537]$	\(y^2=x^3-x^2-2433x+49537\)	3.4.0.a.1, 24.8.0-3.a.1.2, 474.8.0.?, 632.2.0.?, 1896.16.0.?	$[(33, 64)]$
126400.ce1	126400t1	126400.ce	126400t	$2$	$3$	\( 2^{6} \cdot 5^{2} \cdot 79 \)	\( - 2^{21} \cdot 5^{10} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$9480$	$16$	$0$	$1$	$1$		$0$	$668160$	$1.671148$	$-9725425/632$	$0.80343$	$3.81092$	$[0, 1, 0, -60833, 6070463]$	\(y^2=x^3+x^2-60833x+6070463\)	3.4.0.a.1, 120.8.0.?, 632.2.0.?, 1896.8.0.?, 2370.8.0.?, $\ldots$	$[ ]$
126400.cf1	126400cl1	126400.cf	126400cl	$2$	$3$	\( 2^{6} \cdot 5^{2} \cdot 79 \)	\( - 2^{21} \cdot 5^{4} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1896$	$16$	$0$	$8.320502419$	$1$		$0$	$133632$	$0.866428$	$-9725425/632$	$0.80343$	$2.98889$	$[0, 1, 0, -2433, -49537]$	\(y^2=x^3+x^2-2433x-49537\)	3.4.0.a.1, 24.8.0-3.a.1.4, 632.2.0.?, 948.8.0.?, 1896.16.0.?	$[(37039/25, 2091712/25)]$
193550.ba1	193550cy1	193550.ba	193550cy	$2$	$3$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 79 \)	\( - 2^{3} \cdot 5^{10} \cdot 7^{6} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$66360$	$16$	$0$	$15.41238319$	$1$		$0$	$1002240$	$1.604382$	$-9725425/632$	$0.80343$	$3.61172$	$[1, 0, 1, -46576, -4084202]$	\(y^2+xy+y=x^3-46576x-4084202\)	3.4.0.a.1, 105.8.0.?, 632.2.0.?, 1896.8.0.?, 66360.16.0.?	$[(28574879/218, 137938790669/218)]$
193550.bz1	193550m1	193550.bz	193550m	$2$	$3$	\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 79 \)	\( - 2^{3} \cdot 5^{4} \cdot 7^{6} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$13272$	$16$	$0$	$3.763009680$	$1$		$0$	$200448$	$0.799664$	$-9725425/632$	$0.80343$	$2.81846$	$[1, 1, 1, -1863, -33419]$	\(y^2+xy+y=x^3+x^2-1863x-33419\)	3.4.0.a.1, 21.8.0-3.a.1.1, 632.2.0.?, 1896.8.0.?, 13272.16.0.?	$[(199/2, -105/2)]$
284400.r1	284400r1	284400.r	284400r	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( - 2^{15} \cdot 3^{6} \cdot 5^{10} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$9480$	$16$	$0$	$3.651207287$	$1$		$2$	$2505600$	$1.873880$	$-9725425/632$	$0.80343$	$3.75856$	$[0, 0, 0, -136875, 20556250]$	\(y^2=x^3-136875x+20556250\)	3.4.0.a.1, 60.8.0-3.a.1.1, 632.2.0.?, 1896.8.0.?, 9480.16.0.?	$[(261, 1616)]$
284400.gd1	284400gd1	284400.gd	284400gd	$2$	$3$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 79 \)	\( - 2^{15} \cdot 3^{6} \cdot 5^{4} \cdot 79 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1896$	$16$	$0$	$1$	$1$		$0$	$501120$	$1.069160$	$-9725425/632$	$0.80343$	$2.98961$	$[0, 0, 0, -5475, 164450]$	\(y^2=x^3-5475x+164450\)	3.4.0.a.1, 12.8.0-3.a.1.2, 632.2.0.?, 1896.16.0.?	$[ ]$
312050.j1	312050j1	312050.j	312050j	$2$	$3$	\( 2 \cdot 5^{2} \cdot 79^{2} \)	\( - 2^{3} \cdot 5^{10} \cdot 79^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$9480$	$16$	$0$	$1$	$25$	$5$	$0$	$21715200$	$2.816151$	$-9725425/632$	$0.80343$	$4.62478$	$[1, 0, 1, -5932201, -5865675452]$	\(y^2+xy+y=x^3-5932201x-5865675452\)	3.4.0.a.1, 120.8.0.?, 632.2.0.?, 1185.8.0.?, 1896.8.0.?, $\ldots$	$[ ]$
312050.p1	312050p1	312050.p	312050p	$2$	$3$	\( 2 \cdot 5^{2} \cdot 79^{2} \)	\( - 2^{3} \cdot 5^{4} \cdot 79^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$1896$	$16$	$0$	$1$	$1$		$0$	$4343040$	$2.011433$	$-9725425/632$	$0.80343$	$3.86147$	$[1, 1, 1, -237288, -47020319]$	\(y^2+xy+y=x^3+x^2-237288x-47020319\)	3.4.0.a.1, 24.8.0-3.a.1.6, 237.8.0.?, 632.2.0.?, 1896.16.0.?	$[ ]$
477950.bl1	477950bl1	477950.bl	477950bl	$2$	$3$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 79 \)	\( - 2^{3} \cdot 5^{4} \cdot 11^{6} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$20856$	$16$	$0$	$4.780983261$	$1$		$0$	$1002240$	$1.025656$	$-9725425/632$	$0.80343$	$2.83101$	$[1, 0, 1, -4601, -127052]$	\(y^2+xy+y=x^3-4601x-127052\)	3.4.0.a.1, 33.8.0-3.a.1.2, 632.2.0.?, 1896.8.0.?, 20856.16.0.?	$[(3478/3, 196537/3)]$
477950.cf1	477950cf1	477950.cf	477950cf	$2$	$3$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 79 \)	\( - 2^{3} \cdot 5^{10} \cdot 11^{6} \cdot 79 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$3$	3.4.0.1	3B	$104280$	$16$	$0$	$6.742745393$	$1$		$0$	$5011200$	$1.830374$	$-9725425/632$	$0.80343$	$3.56943$	$[1, 1, 1, -115013, -15881469]$	\(y^2+xy+y=x^3+x^2-115013x-15881469\)	3.4.0.a.1, 165.8.0.?, 632.2.0.?, 1896.8.0.?, 104280.16.0.?	$[(9841/5, -1554/5)]$

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