Cremona's table of elliptic curves

64824 = 2³ · 3 · 37 · 73

Class	r	Atkin-Lehner	Eigenvalues
64824a (2 curves)	1	2+ 3+ 37+ 73+	2+ 3+  2  2  0  0  6  4
Curve Equation t Generators 64824a1 [0,-1,0,-172,532] 2 [13:18:1] 64824a2 [0,-1,0,-2392,45820] 2 [1546:20805:8]
64824b (1 curve)	0	2+ 3+ 37+ 73-	2+ 3+  0  4  1 -1  6 -2
Curve Equation t 64824b1 [0,-1,0,52,45] 1
64824c (2 curves)	0	2+ 3+ 37+ 73-	2+ 3+  0 -4  0  4 -8  4
Curve Equation t 64824c1 [0,-1,0,-80943,-8836812] 2 64824c2 [0,-1,0,-81308,-8752716] 2
64824d (1 curve)	1	2+ 3+ 37- 73-	2+ 3+  0 -2  5  1 -4  0
Curve Equation t Generators 64824d1 [0,-1,0,72,573] 1 [22:111:1]
64824e (2 curves)	2	2+ 3- 37+ 73+	2+ 3-  0 -2 -2 -6  6 -4
Curve Equation t Generators 64824e1 [0,1,0,-2688,51120] 2 [-33:324:1]&[12:144:1] 64824e2 [0,1,0,-42648,3375792] 2 [123:78:1]&[263:3228:1]
64824f (2 curves)	1	2- 3+ 37+ 73-	2- 3+ -4  4  4  4  4 -8
Curve Equation t Generators 64824f1 [0,-1,0,-135,-504] 2 [-7:7:1] 64824f2 [0,-1,0,-500,3876] 2 [-20:74:1]
64824g (1 curve)	0	2- 3+ 37- 73-	2- 3+ -2  1 -4  5  7 -5
Curve Equation t 64824g1 [0,-1,0,-245584,46951804] 1
64824h (1 curve)	0	2- 3+ 37- 73-	2- 3+  4 -2 -1 -1  4 -8
Curve Equation t 64824h1 [0,-1,0,-116,-447] 1
64824i (2 curves)	0	2- 3- 37+ 73-	2- 3-  0  2 -4  4 -6  4
Curve Equation t 64824i1 [0,1,0,-14088,417024] 2 64824i2 [0,1,0,40672,2914080] 2
64824j (2 curves)	0	2- 3- 37- 73+	2- 3- -2  4  6  4 -6  4
Curve Equation t 64824j1 [0,1,0,236,-1024] 2 64824j2 [0,1,0,-1224,-10368] 2
64824k (4 curves)	1	2- 3- 37- 73-	2- 3-  2 -4  0  2 -2 -4
Curve Equation t Generators 64824k1 [0,1,0,-927,10530] 2 [-9:135:1] 64824k2 [0,1,0,-1332,0] 4 [-12:120:1] 64824k3 [0,1,0,5328,5328] 4 [99:1230:1] 64824k4 [0,1,0,-14472,-672768] 2 [-534:135:8]

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

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