Cremona's table of elliptic curves

31312 = 2⁴ · 19 · 103

Class	r	Atkin-Lehner	Eigenvalues
31312a (1 curve)	1	2+ 19+ 103+	2+ -1  0 -3 -2 -6  2 19+
Curve Equation t Generators 31312a1 [0,-1,0,-161483,23233606] 1 [2410:10837:8]
31312b (2 curves)	1	2+ 19+ 103+	2+  2  0  0 -2  6  2 19+
Curve Equation t Generators 31312b1 [0,-1,0,-928,-11952] 2 [27414:4538898:1] 31312b2 [0,-1,0,-15368,-728176] 2 [104904:101764:729]
31312c (1 curve)	1	2+ 19+ 103+	2+  3  0  5 -2 -2 -6 19+
Curve Equation t Generators 31312c1 [0,0,0,-70,-157] 1 [3318:10565:216]
31312d (1 curve)	2	2+ 19+ 103-	2+ -1 -2  3 -2 -6 -6 19+
Curve Equation t Generators 31312d1 [0,-1,0,-19,38] 1 [-2:8:1]&[2:2:1]
31312e (1 curve)	0	2+ 19+ 103-	2+  2  1  3  1 -6 -3 19+
Curve Equation t 31312e1 [0,-1,0,-15505,-748371] 1
31312f (1 curve)	2	2+ 19- 103+	2+ -1 -4 -1  2 -2 -6 19-
Curve Equation t Generators 31312f1 [0,-1,0,-20,16] 1 [-4:4:1]&[0:4:1]
31312g (1 curve)	0	2+ 19- 103+	2+  3 -4  3  4  4 -2 19-
Curve Equation t 31312g1 [0,0,0,-202,-1105] 1
31312h (1 curve)	1	2+ 19- 103-	2+ -1  2 -3  0 -4  2 19-
Curve Equation t Generators 31312h1 [0,-1,0,-30367,2022218] 1 [938:1957:8]
31312i (1 curve)	1	2+ 19- 103-	2+ -1  2 -3  6  2  2 19-
Curve Equation t Generators 31312i1 [0,-1,0,-532,-2992] 1 [41:206:1]
31312j (1 curve)	0	2- 19+ 103+	2-  1  0  1  6 -4 -6 19+
Curve Equation t 31312j1 [0,1,0,-3573,-83350] 1
31312k (1 curve)	0	2- 19+ 103+	2-  1 -2  3  0  4  2 19+
Curve Equation t 31312k1 [0,1,0,-3064,-51500] 1
31312l (1 curve)	0	2- 19+ 103+	2- -1  0  1 -4  0 -2 19+
Curve Equation t 31312l1 [0,-1,0,-80425608,-274740193040] 1
31312m (2 curves)	0	2- 19+ 103+	2- -2  0  4  0  2  6 19+
Curve Equation t 31312m1 [0,1,0,-3208,71412] 2 31312m2 [0,1,0,-51848,4526836] 2
31312n (1 curve)	2	2- 19+ 103+	2- -2 -3 -5 -3  2 -3 19+
Curve Equation t Generators 31312n1 [0,1,0,-37,-369] 1 [35:206:1]&[11:26:1]
31312o (1 curve)	1	2- 19+ 103-	2-  1  0  5  0 -4 -2 19+
Curve Equation t Generators 31312o1 [0,1,0,-128,500] 1 [2:16:1]
31312p (1 curve)	1	2- 19+ 103-	2-  1 -4  1  4 -4 -2 19+
Curve Equation t Generators 31312p1 [0,1,0,-8360,-292876] 1 [-58:16:1]
31312q (1 curve)	1	2- 19+ 103-	2-  3 -2  3  0  0 -6 19+
Curve Equation t Generators 31312q1 [0,0,0,-451,-3646] 1 [-357:64:27]
31312r (2 curves)	1	2- 19- 103+	2-  0 -2 -4 -2 -2 -2 19-
Curve Equation t Generators 31312r1 [0,0,0,-371,3634] 2 [9:-32:1] 31312r2 [0,0,0,-6451,199410] 2 [-57:618:1]
31312s (1 curve)	2	2- 19- 103-	2-  1 -2  1  0 -6 -2 19-
Curve Equation t Generators 31312s1 [0,1,0,-9,-10] 1 [-2:2:1]&[26:19:8]
31312t (1 curve)	0	2- 19- 103-	2-  3  0  3  6  0  2 19-
Curve Equation t 31312t1 [0,0,0,-40,-97] 1

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