Cremona's table of elliptic curves

85312 = 2⁶ · 31 · 43

Class	r	Atkin-Lehner	Eigenvalues
85312a (1 curve)	1	2+ 31+ 43+	2+  0 -1  0  3  1  0  8
Curve Equation t Generators 85312a1 [0,0,0,-200108,34276144] 1 [3300:187912:1]
85312b (1 curve)	1	2+ 31+ 43+	2+  0 -1  4 -1  1 -4  0
Curve Equation t Generators 85312b1 [0,0,0,-1388,2736] 1 [68:472:1]
85312c (1 curve)	1	2+ 31+ 43+	2+  2 -1  2 -3 -3  4  4
Curve Equation t Generators 85312c1 [0,-1,0,-23355681,-25688235871] 1 [-11952494348776688504:346710162390074549541:3286217581297217]
85312d (1 curve)	1	2+ 31+ 43+	2+  2  3 -3 -2  6  6  7
Curve Equation t Generators 85312d1 [0,-1,0,-1169,-21703] 1 [167274352280:1264967229177:2171747375]
85312e (1 curve)	1	2+ 31+ 43+	2+ -2 -3 -3  0  4  0  3
Curve Equation t Generators 85312e1 [0,1,0,-777,-8609] 1 [138:1591:1]
85312f (1 curve)	2	2+ 31+ 43-	2+ -2 -3  2 -1 -1  4 -4
Curve Equation t Generators 85312f1 [0,1,0,-3457,72159] 1 [-30:387:1]&[13:172:1]
85312g (1 curve)	0	2+ 31- 43+	2+  0 -1  2  5  3  6 -4
Curve Equation t 85312g1 [0,0,0,-1544588,392774896] 1
85312h (2 curves)	0	2+ 31- 43+	2+  0  2  2 -4 -6  6  2
Curve Equation t 85312h1 [0,0,0,16,-312] 2 85312h2 [0,0,0,-604,-5520] 2
85312i (2 curves)	0	2+ 31- 43+	2+  2  3 -4  3  7 -6  4
Curve Equation t 85312i1 [0,-1,0,-24769,1499841] 1 85312i2 [0,-1,0,-157889,-23123263] 1
85312j (1 curve)	1	2+ 31- 43-	2+  0  1 -2 -5  1  2  4
Curve Equation t Generators 85312j1 [0,0,0,-13292,589488] 1 [68:8:1]
85312k (1 curve)	1	2+ 31- 43-	2+  2  1  0  5  5 -6  4
Curve Equation t Generators 85312k1 [0,-1,0,-225,353] 1 [-1:24:1]
85312l (1 curve)	0	2- 31+ 43+	2-  0  1  2  5  1  2 -4
Curve Equation t 85312l1 [0,0,0,-13292,-589488] 1
85312m (1 curve)	2	2- 31+ 43+	2-  0  1 -4  3  1  0 -8
Curve Equation t Generators 85312m1 [0,0,0,-1292,17872] 1 [12:64:1]&[16:36:1]
85312n (1 curve)	2	2- 31+ 43+	2- -2  1  0 -5  5 -6 -4
Curve Equation t Generators 85312n1 [0,1,0,-225,-353] 1 [-9:32:1]&[21:68:1]
85312o (1 curve)	2	2- 31+ 43+	2- -2 -3  2  1  1 -4  4
Curve Equation t Generators 85312o1 [0,1,0,-257,1471] 1 [-9:56:1]&[7:8:1]
85312p (1 curve)	1	2- 31+ 43-	2-  0 -1 -2 -5  3  6  4
Curve Equation t Generators 85312p1 [0,0,0,-1544588,-392774896] 1 [4672:307196:1]
85312q (2 curves)	1	2- 31+ 43-	2-  0  2 -2  4 -6  6 -2
Curve Equation t Generators 85312q1 [0,0,0,16,312] 2 [138:620:27] 85312q2 [0,0,0,-604,5520] 2 [30:120:1]
85312r (2 curves)	1	2- 31+ 43-	2- -2  3  4 -3  7 -6 -4
Curve Equation t Generators 85312r1 [0,1,0,-24769,-1499841] 1 [23130:66951:125] 85312r2 [0,1,0,-157889,23123263] 1 [266:129:1]
85312s (1 curve)	1	2- 31+ 43-	2- -2 -3  0  5 -1 -2 -4
Curve Equation t Generators 85312s1 [0,1,0,-39457,-3029889] 1 [-115:4:1]
85312t (1 curve)	1	2- 31- 43+	2-  2 -3  0 -5 -1 -2  4
Curve Equation t Generators 85312t1 [0,-1,0,-39457,3029889] 1 [120:93:1]
85312u (1 curve)	1	2- 31- 43+	2-  2 -3 -2  1 -1  4  4
Curve Equation t Generators 85312u1 [0,-1,0,-3457,-72159] 1 [192:2511:1]
85312v (1 curve)	0	2- 31- 43-	2-  0  1  4 -3  1  0  8
Curve Equation t 85312v1 [0,0,0,-1292,-17872] 1
85312w (1 curve)	2	2- 31- 43-	2-  0 -1  0 -3  1  0 -8
Curve Equation t Generators 85312w1 [0,0,0,-200108,-34276144] 1 [-272:172:1]&[661:11057:1]
85312x (1 curve)	2	2- 31- 43-	2-  0 -1 -4  1  1 -4  0
Curve Equation t Generators 85312x1 [0,0,0,-1388,-2736] 1 [-36:24:1]&[-16:124:1]
85312y (1 curve)	2	2- 31- 43-	2-  2 -3 -2 -1  1 -4 -4
Curve Equation t Generators 85312y1 [0,-1,0,-257,-1471] 1 [-8:3:1]&[19:12:1]
85312z (1 curve)	0	2- 31- 43-	2-  2 -3  3  0  4  0 -3
Curve Equation t 85312z1 [0,-1,0,-777,8609] 1
85312ba (1 curve)	2	2- 31- 43-	2- -2 -1 -2  3 -3  4 -4
Curve Equation t Generators 85312ba1 [0,1,0,-23355681,25688235871] 1 [-5177:88752:1]&[-3097:261392:1]
85312bb (1 curve)	0	2- 31- 43-	2- -2  3  3  2  6  6 -7
Curve Equation t 85312bb1 [0,1,0,-1169,21703] 1

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