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
21660.k2	21660n1	21660.k	21660n	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$0.365082191$	$1$		$9$	$11520$	$0.556290$	$44957696/50625$	$1.04477$	$2.92763$	$[0, -1, 0, 355, 2382]$	\(y^2=x^3-x^2+355x+2382\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[(-1, 45)]$
21660.z2	21660bc1	21660.z	21660bc	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$1$	$1$		$1$	$218880$	$2.028511$	$44957696/50625$	$1.04477$	$4.69726$	$[0, 1, 0, 128035, -17106600]$	\(y^2=x^3+x^2+128035x-17106600\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[ ]$
64980.a2	64980r1	64980.a	64980r	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{4} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$5.513680378$	$1$		$3$	$1751040$	$2.577816$	$44957696/50625$	$1.04477$	$4.82641$	$[0, 0, 0, 1152312, 463030513]$	\(y^2=x^3+1152312x+463030513\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[(5264, 390375)]$
64980.b2	64980q1	64980.b	64980q	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{4} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$5.954144553$	$1$		$1$	$92160$	$1.105597$	$44957696/50625$	$1.04477$	$3.23221$	$[0, 0, 0, 3192, -67507]$	\(y^2=x^3+3192x-67507\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[(1387/3, 54568/3)]$
86640.bz2	86640ck1	86640.bz	86640ck	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$8.459452392$	$1$		$1$	$875520$	$2.028511$	$44957696/50625$	$1.04477$	$4.12452$	$[0, -1, 0, 128035, 17106600]$	\(y^2=x^3-x^2+128035x+17106600\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[(46565/2, 10052595/2)]$
86640.ef2	86640dy1	86640.ef	86640dy	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$1$	$1$		$1$	$46080$	$0.556290$	$44957696/50625$	$1.04477$	$2.57066$	$[0, 1, 0, 355, -2382]$	\(y^2=x^3+x^2+355x-2382\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[ ]$
108300.bi2	108300j1	108300.bi	108300j	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{10} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$1$	$4$	$2$	$1$	$5253120$	$2.833229$	$44957696/50625$	$1.04477$	$4.87812$	$[0, -1, 0, 3200867, -2144726738]$	\(y^2=x^3-x^2+3200867x-2144726738\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[ ]$
108300.cq2	108300bt1	108300.cq	108300bt	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{10} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$3.237260408$	$1$		$3$	$276480$	$1.361010$	$44957696/50625$	$1.04477$	$3.35417$	$[0, 1, 0, 8867, 315488]$	\(y^2=x^3+x^2+8867x+315488\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[(272, 4788)]$
259920.dl2	259920dl1	259920.dl	259920dl	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{4} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$42.91384173$	$1$		$1$	$7004160$	$2.577816$	$44957696/50625$	$1.04477$	$4.28977$	$[0, 0, 0, 1152312, -463030513]$	\(y^2=x^3+1152312x-463030513\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[(54861844773183527521/129498544, 425110996567824780736167195375/129498544)]$
259920.dm2	259920dm1	259920.dm	259920dm	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{4} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$9.800839932$	$1$		$1$	$368640$	$1.105597$	$44957696/50625$	$1.04477$	$2.87283$	$[0, 0, 0, 3192, 67507]$	\(y^2=x^3+3192x+67507\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[(45733/27, 14120344/27)]$
324900.el2	324900el1	324900.el	324900el	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{10} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$3.896284412$	$1$		$5$	$2211840$	$1.910315$	$44957696/50625$	$1.04477$	$3.58321$	$[0, 0, 0, 79800, -8438375]$	\(y^2=x^3+79800x-8438375\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[(114, 1463)]$
324900.ep2	324900ep1	324900.ep	324900ep	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{10} \cdot 5^{10} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$51.82418421$	$1$		$1$	$42024960$	$3.382534$	$44957696/50625$	$1.04477$	$4.97524$	$[0, 0, 0, 28807800, 57878814125]$	\(y^2=x^3+28807800x+57878814125\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[(2657179764453632981274611/1192545817, 4331448933143329751780412358002121084/1192545817)]$
346560.g2	346560g1	346560.g	346560g	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$10.36162126$	$1$		$1$	$7004160$	$2.375084$	$44957696/50625$	$1.04477$	$4.00231$	$[0, -1, 0, 512139, -137364939]$	\(y^2=x^3-x^2+512139x-137364939\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[(243229/13, 131431500/13)]$
346560.cu2	346560cu1	346560.cu	346560cu	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$1$	$1$		$1$	$368640$	$0.902864$	$44957696/50625$	$1.04477$	$2.61732$	$[0, -1, 0, 1419, -20475]$	\(y^2=x^3-x^2+1419x-20475\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[ ]$
346560.ft2	346560ft1	346560.ft	346560ft	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 19^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$2.832538476$	$1$		$11$	$368640$	$0.902864$	$44957696/50625$	$1.04477$	$2.61732$	$[0, 1, 0, 1419, 20475]$	\(y^2=x^3+x^2+1419x+20475\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[(6, 171), (-9, 84)]$
346560.ij2	346560ij1	346560.ij	346560ij	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{4} \cdot 5^{4} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$10.95218245$	$1$		$1$	$7004160$	$2.375084$	$44957696/50625$	$1.04477$	$4.00231$	$[0, 1, 0, 512139, 137364939]$	\(y^2=x^3+x^2+512139x+137364939\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[(-181719/28, 54925725/28)]$
433200.l2	433200l1	433200.l	433200l	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{10} \cdot 19^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$8.435959340$	$1$		$5$	$1105920$	$1.361010$	$44957696/50625$	$1.04477$	$2.99591$	$[0, -1, 0, 8867, -315488]$	\(y^2=x^3-x^2+8867x-315488\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[(412, 8550), (973/2, 32175/2)]$
433200.fw2	433200fw1	433200.fw	433200fw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{4} \cdot 5^{10} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.5	2B	$760$	$48$	$1$	$11.99129747$	$1$		$1$	$21012480$	$2.833229$	$44957696/50625$	$1.04477$	$4.35708$	$[0, 1, 0, 3200867, 2144726738]$	\(y^2=x^3+x^2+3200867x+2144726738\)	2.3.0.a.1, 4.12.0.e.1, 38.6.0.b.1, 40.24.0.ea.1, 76.24.0.?, $\ldots$	$[(13143574/15, 47673808732/15)]$

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