Cremona's table of elliptic curves

31218 = 2 · 3 · 11² · 43

Class	r	Atkin-Lehner	Eigenvalues
31218a (1 curve)	0	2+ 3+ 11- 43+	2+ 3+ -1  2 11-  5  3  8
Curve Equation t 31218a1 [1,1,0,-1089728,-438326016] 1
31218b (4 curves)	1	2+ 3+ 11- 43-	2+ 3+ -2 -4 11- -6  6  4
Curve Equation t Generators 31218b1 [1,1,0,-2906,37140] 2 [4:158:1] 31218b2 [1,1,0,-41626,3250900] 4 [28:1438:1] 31218b3 [1,1,0,-36786,4041756] 2 [-115:2659:1] 31218b4 [1,1,0,-665986,208915084] 2 [471:-226:1]
31218c (1 curve)	1	2+ 3+ 11- 43-	2+ 3+  3  1 11- -1 -4 -1
Curve Equation t Generators 31218c1 [1,1,0,-5339006,-4750617912] 1 [1129122403178236519912109198:-21798661723342768111027969082:398837766530347934907599]
31218d (1 curve)	1	2+ 3- 11+ 43-	2+ 3- -1  3 11+  2 -3  0
Curve Equation t Generators 31218d1 [1,0,1,1691,102848] 1 [633:10318:27]
31218e (2 curves)	1	2+ 3- 11- 43+	2+ 3- -1 -1 11-  7 -4  1
Curve Equation t Generators 31218e1 [1,0,1,19236,-2292710] 1 [113:1095:1] 31218e2 [1,0,1,-7248024,7510936090] 1 [120605:4643641:125]
31218f (2 curves)	1	2+ 3- 11- 43+	2+ 3-  2  2 11- -2  2  4
Curve Equation t Generators 31218f1 [1,0,1,-245,-244] 2 [-411:272:27] 31218f2 [1,0,1,965,-1696] 2 [278:2035:8]
31218g (2 curves)	1	2+ 3- 11- 43+	2+ 3- -2  2 11-  2  2  4
Curve Equation t Generators 31218g1 [1,0,1,-271527,-23462870] 2 [275240:5555682:343] 31218g2 [1,0,1,967513,-177599446] 2 [582:23848:1]
31218h (2 curves)	0	2+ 3- 11- 43-	2+ 3-  0  4 11-  0  2  4
Curve Equation t 31218h1 [1,0,1,-9441,325972] 2 31218h2 [1,0,1,9919,1495316] 2
31218i (6 curves)	0	2+ 3- 11- 43-	2+ 3- -2  0 11-  2  6  4
Curve Equation t 31218i1 [1,0,1,-879552,-317424626] 2 31218i2 [1,0,1,-1034432,-197981170] 4 31218i3 [1,0,1,3544208,-1472674546] 2 31218i4 [1,0,1,-8091152,8721712910] 4 31218i5 [1,0,1,-185012,25027336046] 2 31218i6 [1,0,1,-128904812,563304737774] 2
31218j (1 curve)	0	2+ 3- 11- 43-	2+ 3-  4 -1 11-  0  2 -4
Curve Equation t 31218j1 [1,0,1,481,-5326] 1
31218k (1 curve)	1	2- 3+ 11- 43+	2- 3+  1  1 11-  4 -3 -4
Curve Equation t Generators 31218k1 [1,1,1,-3330,-92421] 1 [8505:1009:125]
31218l (2 curves)	1	2- 3+ 11- 43+	2- 3+ -2 -2 11- -2 -6 -4
Curve Equation t Generators 31218l1 [1,1,1,-231899,-43006039] 2 [-277:406:1] 31218l2 [1,1,1,-154459,-72092503] 2 [655:10078:1]
31218m (1 curve)	0	2- 3+ 11- 43-	2- 3+  1  5 11-  3  0  7
Curve Equation t 31218m1 [1,1,1,300,5589] 1
31218n (1 curve)	2	2- 3+ 11- 43-	2- 3+ -1 -2 11- -5 -3 -8
Curve Equation t Generators 31218n1 [1,1,1,-9006,325227] 1 [51:-69:1]&[-35:791:1]
31218o (1 curve)	1	2- 3- 11+ 43+	2- 3- -1 -3 11+ -2  3  0
Curve Equation t Generators 31218o1 [1,0,0,14,-76] 1 [10:28:1]
31218p (2 curves)	0	2- 3- 11- 43+	2- 3-  3  1 11-  4  3  4
Curve Equation t 31218p1 [1,0,0,-23613334,-44180654044] 1 31218p2 [1,0,0,13614131,-165819639919] 1
31218q (1 curve)	0	2- 3- 11- 43+	2- 3- -3  3 11-  3  0 -7
Curve Equation t 31218q1 [1,0,0,-1757,-31371] 1
31218r (1 curve)	0	2- 3- 11- 43+	2- 3-  4  1 11-  0 -2  4
Curve Equation t 31218r1 [1,0,0,58259,7146833] 1
31218s (1 curve)	1	2- 3- 11- 43-	2- 3- -1  3 11- -4 -3  4
Curve Equation t Generators 31218s1 [1,0,0,-7081,325337] 1 [32:-379:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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