Cremona's table of elliptic curves

31302 = 2 · 3² · 37 · 47

Class	r	Atkin-Lehner	Eigenvalues
31302a (2 curves)	1	2+ 3+ 37- 47-	2+ 3+  0  0  4  2  2  4
Curve Equation t Generators 31302a1 [1,-1,0,-149817,22353773] 2 [373:4087:1] 31302a2 [1,-1,0,-165177,17503085] 2 [2:4143:1]
31302b (2 curves)	1	2+ 3+ 37- 47-	2+ 3+  3  2  0 -4 -3  5
Curve Equation t Generators 31302b1 [1,-1,0,-348,2682] 3 [1417:52613:1] 31302b2 [1,-1,0,1767,6677] 1 [17:195:1]
31302c (2 curves)	0	2+ 3- 37+ 47+	2+ 3-  0  0  2  6 -2  6
Curve Equation t 31302c1 [1,-1,0,-657,-6615] 2 31302c2 [1,-1,0,-10647,-420201] 2
31302d (2 curves)	0	2+ 3- 37+ 47+	2+ 3-  0  0 -4  4  6 -6
Curve Equation t 31302d1 [1,-1,0,3483,-2229611] 2 31302d2 [1,-1,0,-236277,-43036763] 2
31302e (1 curve)	2	2+ 3- 37+ 47+	2+ 3- -1 -4 -4  0  3 -1
Curve Equation t Generators 31302e1 [1,-1,0,270,-3218] 1 [23:-133:1]&[142:595:8]
31302f (1 curve)	1	2+ 3- 37- 47+	2+ 3-  0  1  4 -2 -2 -4
Curve Equation t Generators 31302f1 [1,-1,0,-27,243] 1 [3:12:1]
31302g (4 curves)	1	2+ 3- 37- 47+	2+ 3-  2  0 -4  2 -2  4
Curve Equation t Generators 31302g1 [1,-1,0,-1026,12820] 2 [23:20:1] 31302g2 [1,-1,0,-1746,-6908] 4 [71:437:1] 31302g3 [1,-1,0,6714,-59360] 2 [18:250:1] 31302g4 [1,-1,0,-21726,-1225688] 2 [219:2008:1]
31302h (1 curve)	1	2+ 3- 37- 47+	2+ 3-  3 -2  4 -2 -5  5
Curve Equation t Generators 31302h1 [1,-1,0,-151308,-22709808] 1 [380434843797:-9617657401235:458314011]
31302i (1 curve)	1	2+ 3- 37- 47+	2+ 3- -4 -3 -4  2 -2 -8
Curve Equation t Generators 31302i1 [1,-1,0,2193156,3240990544] 1 [-889:24695:1]
31302j (2 curves)	1	2- 3+ 37- 47+	2- 3+  0  0 -4  2 -2  4
Curve Equation t Generators 31302j1 [1,-1,1,-1348355,-602203517] 2 [3211:166226:1] 31302j2 [1,-1,1,-1486595,-471096701] 2 [-893:12434:1]
31302k (2 curves)	1	2- 3+ 37- 47+	2- 3+ -3  2  0 -4  3  5
Curve Equation t Generators 31302k1 [1,-1,1,196,-313] 3 [67:523:1] 31302k2 [1,-1,1,-3134,-69281] 1 [2149770:10405867:27000]
31302l (1 curve)	0	2- 3- 37+ 47-	2- 3- -2  3  3  5  7  3
Curve Equation t 31302l1 [1,-1,1,-69319346,317009357745] 1
31302m (1 curve)	2	2- 3- 37- 47+	2- 3- -1 -4 -4  0 -7 -5
Curve Equation t Generators 31302m1 [1,-1,1,-113,1185] 1 [-1:-36:1]&[-98:243:8]
31302n (1 curve)	1	2- 3- 37- 47-	2- 3-  1  2  4 -2 -7  1
Curve Equation t Generators 31302n1 [1,-1,1,-190292,-66922153] 1 [841:18745:1]
31302o (1 curve)	1	2- 3- 37- 47-	2- 3-  2 -1  0  0 -6 -2
Curve Equation t Generators 31302o1 [1,-1,1,-2369,49105] 1 [55:260:1]
31302p (1 curve)	1	2- 3- 37- 47-	2- 3- -2 -1  1 -5 -1  1
Curve Equation t Generators 31302p1 [1,-1,1,-581,-5893] 1 [414:2327:8]

Data from Elliptic Curve Data by J. E. Cremona.
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