Cremona's table of elliptic curves

10656 = 2⁵ · 3² · 37

Class	r	Atkin-Lehner	Eigenvalues
10656a (1 curve)	1	2+ 3+ 37+	2+ 3+  2  3 -3  3 -5 -3
Curve Equation t Generators 10656a1 [0,0,0,141,-1098] 1 [9:30:1]
10656b (1 curve)	1	2+ 3+ 37+	2+ 3+  2 -3  3  3 -5  3
Curve Equation t Generators 10656b1 [0,0,0,141,1098] 1 [-6:6:1]
10656c (2 curves)	0	2+ 3- 37+	2+ 3-  0  4  4 -2 -4  6
Curve Equation t 10656c1 [0,0,0,-525,4304] 2 10656c2 [0,0,0,-1740,-22912] 2
10656d (2 curves)	2	2+ 3- 37+	2+ 3-  0 -4 -4 -2 -4 -6
Curve Equation t Generators 10656d1 [0,0,0,-525,-4304] 2 [-15:14:1]&[-13:18:1] 10656d2 [0,0,0,-1740,22912] 2 [-43:135:1]&[-42:148:1]
10656e (2 curves)	0	2+ 3- 37+	2+ 3- -2  4  0  2 -2  2
Curve Equation t 10656e1 [0,0,0,-441,-3564] 2 10656e2 [0,0,0,-396,-4320] 2
10656f (1 curve)	0	2+ 3- 37+	2+ 3-  4  1  3  2 -8  2
Curve Equation t 10656f1 [0,0,0,-2088,36720] 1
10656g (1 curve)	0	2+ 3- 37+	2+ 3- -4  3 -3  6  4  6
Curve Equation t 10656g1 [0,0,0,-9432,352080] 1
10656h (1 curve)	0	2+ 3- 37+	2+ 3- -4 -3  3  6  4 -6
Curve Equation t 10656h1 [0,0,0,-9432,-352080] 1
10656i (1 curve)	0	2- 3+ 37+	2- 3+ -2  3  3  3  5 -3
Curve Equation t 10656i1 [0,0,0,1269,29646] 1
10656j (1 curve)	0	2- 3+ 37+	2- 3+ -2 -3 -3  3  5  3
Curve Equation t 10656j1 [0,0,0,1269,-29646] 1
10656k (1 curve)	1	2- 3- 37+	2- 3-  0  1 -1 -2  4  6
Curve Equation t Generators 10656k1 [0,0,0,-120,-16] 1 [-4:20:1]
10656l (1 curve)	1	2- 3- 37+	2- 3-  0 -1  1 -2  4 -6
Curve Equation t Generators 10656l1 [0,0,0,-120,16] 1 [0:4:1]
10656m (1 curve)	1	2- 3- 37+	2- 3-  0  3 -3  5 -3 -1
Curve Equation t Generators 10656m1 [0,0,0,-75,-398] 1 [14:36:1]
10656n (1 curve)	1	2- 3- 37+	2- 3-  0 -3  3  5 -3  1
Curve Equation t Generators 10656n1 [0,0,0,-75,398] 1 [1:18:1]
10656o (2 curves)	1	2- 3- 37+	2- 3-  0  4 -4 -2  4 -6
Curve Equation t Generators 10656o1 [0,0,0,-43047165,-108705076936] 2 [-1025739507403694464402218082875925:-368931972895232323889145827091294:269861197965791867099991828125] 10656o2 [0,0,0,-688747980,-6957266201152] 2 [-4741124314995842658213140047410219503177153439621473302900:-977338643686500580072021457236208897164756907227315692:312904490049544650434684013576719587115477953092359375]
10656p (2 curves)	1	2- 3- 37+	2- 3-  0 -4  4 -2  4  6
Curve Equation t Generators 10656p1 [0,0,0,-43047165,108705076936] 2 [9617678790230:229025042614143:3124943128] 10656p2 [0,0,0,-688747980,6957266201152] 2 [1204652783:-7696053:79507]
10656q (2 curves)	1	2- 3- 37+	2- 3- -2 -4  0  2 -2 -2
Curve Equation t Generators 10656q1 [0,0,0,-441,3564] 2 [9:18:1] 10656q2 [0,0,0,-396,4320] 2 [12:36:1]
10656r (1 curve)	1	2- 3- 37+	2- 3-  4 -1 -3  2 -8 -2
Curve Equation t Generators 10656r1 [0,0,0,-2088,-36720] 1 [-3280:172:125]

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