Elliptic curve search results

Results (22 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
2090.d1	2090i1	2090.d	2090i	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 19 \)	\( - 2^{5} \cdot 5^{2} \cdot 11^{4} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$152$	$2$	$0$	$0.166493109$	$1$		$6$	$640$	$0.282756$	$-11867954041/222543200$	$0.89530$	$3.49327$	$[1, 1, 0, -47, 709]$	\(y^2+xy=x^3+x^2-47x+709\)	152.2.0.?	$[(-7, 31)]$
10450.bd1	10450z1	10450.bd	10450z	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11 \cdot 19 \)	\( - 2^{5} \cdot 5^{8} \cdot 11^{4} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.297987127$	$1$		$6$	$15360$	$1.087475$	$-11867954041/222543200$	$0.89530$	$3.92922$	$[1, 0, 0, -1188, 90992]$	\(y^2+xy=x^3-1188x+90992\)	152.2.0.?	$[(22, 264)]$
16720.w1	16720bd1	16720.w	16720bd	$1$	$1$	\( 2^{4} \cdot 5 \cdot 11 \cdot 19 \)	\( - 2^{17} \cdot 5^{2} \cdot 11^{4} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$15360$	$0.975904$	$-11867954041/222543200$	$0.89530$	$3.60163$	$[0, 1, 0, -760, -46892]$	\(y^2=x^3+x^2-760x-46892\)	152.2.0.?	$[]$
18810.r1	18810q1	18810.r	18810q	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \)	\( - 2^{5} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.781534149$	$1$		$4$	$19200$	$0.832062$	$-11867954041/222543200$	$0.89530$	$3.38315$	$[1, -1, 1, -428, -19569]$	\(y^2+xy+y=x^3-x^2-428x-19569\)	152.2.0.?	$[(75, 567)]$
22990.bb1	22990bj1	22990.bb	22990bj	$1$	$1$	\( 2 \cdot 5 \cdot 11^{2} \cdot 19 \)	\( - 2^{5} \cdot 5^{2} \cdot 11^{10} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1.536376332$	$1$		$4$	$76800$	$1.481703$	$-11867954041/222543200$	$0.89530$	$4.09179$	$[1, 1, 1, -5750, -972333]$	\(y^2+xy+y=x^3+x^2-5750x-972333\)	152.2.0.?	$[(127, 541)]$
39710.z1	39710bd1	39710.z	39710bd	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 19^{2} \)	\( - 2^{5} \cdot 5^{2} \cdot 11^{4} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.779892588$	$1$		$4$	$230400$	$1.754976$	$-11867954041/222543200$	$0.89530$	$4.19028$	$[1, 0, 0, -17155, -4999775]$	\(y^2+xy=x^3-17155x-4999775\)	152.2.0.?	$[(1170, 39125)]$
66880.bd1	66880cj1	66880.bd	66880cj	$1$	$1$	\( 2^{6} \cdot 5 \cdot 11 \cdot 19 \)	\( - 2^{23} \cdot 5^{2} \cdot 11^{4} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.511294683$	$1$		$6$	$122880$	$1.322477$	$-11867954041/222543200$	$0.89530$	$3.52656$	$[0, -1, 0, -3041, -372095]$	\(y^2=x^3-x^2-3041x-372095\)	152.2.0.?	$[(141, 1408)]$
66880.cq1	66880e1	66880.cq	66880e	$1$	$1$	\( 2^{6} \cdot 5 \cdot 11 \cdot 19 \)	\( - 2^{23} \cdot 5^{2} \cdot 11^{4} \cdot 19 \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1.309011865$	$1$		$12$	$122880$	$1.322477$	$-11867954041/222543200$	$0.89530$	$3.52656$	$[0, 1, 0, -3041, 372095]$	\(y^2=x^3+x^2-3041x+372095\)	152.2.0.?	$[(-13, 640), (2, 605)]$
83600.x1	83600bk1	83600.x	83600bk	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( - 2^{17} \cdot 5^{8} \cdot 11^{4} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1.450802559$	$1$		$4$	$368640$	$1.780622$	$-11867954041/222543200$	$0.89530$	$3.94220$	$[0, -1, 0, -19008, -5823488]$	\(y^2=x^3-x^2-19008x-5823488\)	152.2.0.?	$[(2112, 96800)]$
94050.bj1	94050j1	94050.bj	94050j	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( - 2^{5} \cdot 3^{6} \cdot 5^{8} \cdot 11^{4} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$460800$	$1.636782$	$-11867954041/222543200$	$0.89530$	$3.75093$	$[1, -1, 0, -10692, -2456784]$	\(y^2+xy=x^3-x^2-10692x-2456784\)	152.2.0.?	$[]$
102410.s1	102410l1	102410.s	102410l	$1$	$1$	\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 19 \)	\( - 2^{5} \cdot 5^{2} \cdot 7^{6} \cdot 11^{4} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$241920$	$1.255711$	$-11867954041/222543200$	$0.89530$	$3.32687$	$[1, 0, 1, -2329, -250148]$	\(y^2+xy+y=x^3-2329x-250148\)	152.2.0.?	$[]$
114950.bh1	114950z1	114950.bh	114950z	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 19 \)	\( - 2^{5} \cdot 5^{8} \cdot 11^{10} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$12.21760701$	$1$		$0$	$1843200$	$2.286423$	$-11867954041/222543200$	$0.89530$	$4.35536$	$[1, 0, 1, -143751, -121254102]$	\(y^2+xy+y=x^3-143751x-121254102\)	152.2.0.?	$[(8803143/82, 23892797753/82)]$
150480.bg1	150480bv1	150480.bg	150480bv	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19 \)	\( - 2^{17} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$0.532082609$	$1$		$4$	$460800$	$1.525209$	$-11867954041/222543200$	$0.89530$	$3.49074$	$[0, 0, 0, -6843, 1259242]$	\(y^2=x^3-6843x+1259242\)	152.2.0.?	$[(141, 1760)]$
183920.cc1	183920bg1	183920.cc	183920bg	$1$	$1$	\( 2^{4} \cdot 5 \cdot 11^{2} \cdot 19 \)	\( - 2^{17} \cdot 5^{2} \cdot 11^{10} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$1843200$	$2.174850$	$-11867954041/222543200$	$0.89530$	$4.07605$	$[0, 1, 0, -92000, 62045300]$	\(y^2=x^3+x^2-92000x+62045300\)	152.2.0.?	$[]$
198550.m1	198550cf1	198550.m	198550cf	$1$	$1$	\( 2 \cdot 5^{2} \cdot 11 \cdot 19^{2} \)	\( - 2^{5} \cdot 5^{8} \cdot 11^{4} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$3.824045442$	$1$		$2$	$5529600$	$2.559696$	$-11867954041/222543200$	$0.89530$	$4.42904$	$[1, 1, 0, -428875, -624971875]$	\(y^2+xy=x^3+x^2-428875x-624971875\)	152.2.0.?	$[(25705, 4107060)]$
206910.t1	206910ek1	206910.t	206910ek	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 19 \)	\( - 2^{5} \cdot 3^{6} \cdot 5^{2} \cdot 11^{10} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$2304000$	$2.031010$	$-11867954041/222543200$	$0.89530$	$3.89580$	$[1, -1, 0, -51750, 26201236]$	\(y^2+xy=x^3-x^2-51750x+26201236\)	152.2.0.?	$[]$
317680.x1	317680x1	317680.x	317680x	$1$	$1$	\( 2^{4} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( - 2^{17} \cdot 5^{2} \cdot 11^{4} \cdot 19^{7} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1.254963261$	$1$		$12$	$5529600$	$2.448124$	$-11867954041/222543200$	$0.89530$	$4.15905$	$[0, -1, 0, -274480, 319985600]$	\(y^2=x^3-x^2-274480x+319985600\)	152.2.0.?	$[(5770, 436810), (-728, 11552)]$
334400.by1	334400by1	334400.by	334400by	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( - 2^{23} \cdot 5^{8} \cdot 11^{4} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$2949120$	$2.127197$	$-11867954041/222543200$	$0.89530$	$3.83952$	$[0, -1, 0, -76033, 46663937]$	\(y^2=x^3-x^2-76033x+46663937\)	152.2.0.?	$[]$
334400.fd1	334400fd1	334400.fd	334400fd	$1$	$1$	\( 2^{6} \cdot 5^{2} \cdot 11 \cdot 19 \)	\( - 2^{23} \cdot 5^{8} \cdot 11^{4} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$4.433095925$	$1$		$2$	$2949120$	$2.127197$	$-11867954041/222543200$	$0.89530$	$3.83952$	$[0, 1, 0, -76033, -46663937]$	\(y^2=x^3+x^2-76033x-46663937\)	152.2.0.?	$[(2298, 109175)]$
353210.bk1	353210bk1	353210.bk	353210bk	$1$	$1$	\( 2 \cdot 5 \cdot 11 \cdot 13^{2} \cdot 19 \)	\( - 2^{5} \cdot 5^{2} \cdot 11^{4} \cdot 13^{6} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1.214607112$	$1$		$4$	$1497600$	$1.565231$	$-11867954041/222543200$	$0.89530$	$3.29519$	$[1, 1, 1, -8031, 1597669]$	\(y^2+xy+y=x^3+x^2-8031x+1597669\)	152.2.0.?	$[(79, 1170)]$
357390.l1	357390l1	357390.l	357390l	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 19^{2} \)	\( - 2^{5} \cdot 3^{6} \cdot 5^{2} \cdot 11^{4} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$2.716615879$	$1$		$0$	$6912000$	$2.304283$	$-11867954041/222543200$	$0.89530$	$3.98574$	$[1, -1, 0, -154395, 134993925]$	\(y^2+xy=x^3-x^2-154395x+134993925\)	152.2.0.?	$[(5815/2, 430995/2)]$
436810.ba1	436810ba1	436810.ba	436810ba	$1$	$1$	\( 2 \cdot 5 \cdot 11^{2} \cdot 19^{2} \)	\( - 2^{5} \cdot 5^{2} \cdot 11^{10} \cdot 19^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$152$	$2$	$0$	$1$	$1$		$0$	$27648000$	$2.953922$	$-11867954041/222543200$	$0.89530$	$4.52442$	$[1, 0, 1, -2075758, 6652624768]$	\(y^2+xy+y=x^3-2075758x+6652624768\)	152.2.0.?	$[]$