Elliptic curve search results

Results (12 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
13225.e1	13225i1	13225.e	13225i	$1$	$1$	\( 5^{2} \cdot 23^{2} \)	\( 5^{8} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$460$	$40$	$1$	$1.982288437$	$1$		$4$	$36000$	$1.152275$	$1053224375$	$1.03176$	$4.53717$	$[1, 0, 0, -35638, -2592483]$	\(y^2+xy=x^3-35638x-2592483\)	5.10.0.a.1, 20.20.0.d.1, 92.2.0.?, 115.20.0.?, 460.40.1.?	$[(-109, 55)]$
13225.f1	13225h1	13225.f	13225h	$1$	$1$	\( 5^{2} \cdot 23^{2} \)	\( 5^{8} \cdot 23^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$460$	$40$	$1$	$1.336084994$	$1$		$0$	$828000$	$2.720024$	$1053224375$	$1.03176$	$6.51960$	$[1, 0, 0, -18852513, 31505035642]$	\(y^2+xy=x^3-18852513x+31505035642\)	5.10.0.a.1, 20.20.0.d.1, 92.2.0.?, 115.20.0.?, 460.40.1.?	$[(23143/3, 117373/3)]$
13225.k1	13225e1	13225.k	13225e	$1$	$1$	\( 5^{2} \cdot 23^{2} \)	\( 5^{2} \cdot 23^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$460$	$40$	$1$	$1$	$1$		$0$	$165600$	$1.915304$	$1053224375$	$1.03176$	$5.50202$	$[1, 1, 0, -754100, 251738645]$	\(y^2+xy=x^3+x^2-754100x+251738645\)	5.10.0.a.1, 20.20.0.d.1, 92.2.0.?, 115.20.0.?, 460.40.1.?	$[]$
13225.l1	13225d1	13225.l	13225d	$1$	$1$	\( 5^{2} \cdot 23^{2} \)	\( 5^{2} \cdot 23^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$460$	$40$	$1$	$1$	$4$	$2$	$0$	$7200$	$0.347557$	$1053224375$	$1.03176$	$3.51960$	$[1, 1, 0, -1425, -21310]$	\(y^2+xy=x^3+x^2-1425x-21310\)	5.10.0.a.1, 20.20.0.d.1, 92.2.0.?, 115.20.0.?, 460.40.1.?	$[]$
119025.o1	119025bn1	119025.o	119025bn	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 23^{2} \)	\( 3^{6} \cdot 5^{2} \cdot 23^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$460$	$40$	$1$	$8.508730927$	$1$		$0$	$3974400$	$2.464611$	$1053224375$	$1.03176$	$5.03163$	$[1, -1, 1, -6786905, -6803730318]$	\(y^2+xy+y=x^3-x^2-6786905x-6803730318\)	5.10.0.a.1, 20.20.0.d.1, 92.2.0.?, 115.20.0.?, 460.40.1.?	$[(364908/11, 14277870/11)]$
119025.ba1	119025bl1	119025.ba	119025bl	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 23^{2} \)	\( 3^{6} \cdot 5^{2} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$460$	$40$	$1$	$0.890620679$	$1$		$2$	$172800$	$0.896863$	$1053224375$	$1.03176$	$3.42191$	$[1, -1, 1, -12830, 562542]$	\(y^2+xy+y=x^3-x^2-12830x+562542\)	5.10.0.a.1, 20.20.0.d.1, 92.2.0.?, 115.20.0.?, 460.40.1.?	$[(65, -24)]$
119025.bx1	119025cl1	119025.bx	119025cl	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 23^{2} \)	\( 3^{6} \cdot 5^{8} \cdot 23^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$460$	$40$	$1$	$1.367555533$	$1$		$4$	$864000$	$1.701582$	$1053224375$	$1.03176$	$4.24817$	$[1, -1, 0, -320742, 69997041]$	\(y^2+xy=x^3-x^2-320742x+69997041\)	5.10.0.a.1, 20.20.0.d.1, 92.2.0.?, 115.20.0.?, 460.40.1.?	$[(144, 5103), (328, -187)]$
119025.cl1	119025ck1	119025.cl	119025ck	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 23^{2} \)	\( 3^{6} \cdot 5^{8} \cdot 23^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$460$	$40$	$1$	$1$	$25$	$5$	$0$	$19872000$	$3.269329$	$1053224375$	$1.03176$	$5.85790$	$[1, -1, 0, -169672617, -850635962334]$	\(y^2+xy=x^3-x^2-169672617x-850635962334\)	5.10.0.a.1, 20.20.0.d.1, 92.2.0.?, 115.20.0.?, 460.40.1.?	$[]$
211600.i1	211600m1	211600.i	211600m	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{12} \cdot 5^{2} \cdot 23^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$460$	$40$	$1$	$0.463662068$	$1$		$4$	$460800$	$1.040705$	$1053224375$	$1.03176$	$3.40211$	$[0, 1, 0, -22808, 1318228]$	\(y^2=x^3+x^2-22808x+1318228\)	5.10.0.a.1, 20.20.0.d.1, 92.2.0.?, 115.20.0.?, 460.40.1.?	$[(84, 46)]$
211600.ba1	211600u1	211600.ba	211600u	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{12} \cdot 5^{2} \cdot 23^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$460$	$40$	$1$	$24.54949231$	$1$		$0$	$10598400$	$2.608452$	$1053224375$	$1.03176$	$4.93631$	$[0, 1, 0, -12065608, -16135404492]$	\(y^2=x^3+x^2-12065608x-16135404492\)	5.10.0.a.1, 20.20.0.d.1, 92.2.0.?, 115.20.0.?, 460.40.1.?	$[(-76001603250583/194656, 848464664196982603/194656)]$
211600.cy1	211600bz1	211600.cy	211600bz	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{12} \cdot 5^{8} \cdot 23^{9} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$460$	$40$	$1$	$1$	$9$	$3$	$0$	$52992000$	$3.413170$	$1053224375$	$1.03176$	$5.72380$	$[0, -1, 0, -301640208, -2016322281088]$	\(y^2=x^3-x^2-301640208x-2016322281088\)	5.10.0.a.1, 20.20.0.d.1, 92.2.0.?, 115.20.0.?, 460.40.1.?	$[]$
211600.dt1	211600cf1	211600.dt	211600cf	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 23^{2} \)	\( 2^{12} \cdot 5^{8} \cdot 23^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$5$	5.10.0.1	5Nn	$460$	$40$	$1$	$1$	$1$		$0$	$2304000$	$1.845423$	$1053224375$	$1.03176$	$4.18961$	$[0, -1, 0, -570208, 165918912]$	\(y^2=x^3-x^2-570208x+165918912\)	5.10.0.a.1, 20.20.0.d.1, 92.2.0.?, 115.20.0.?, 460.40.1.?	$[]$

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