Cremona's table of elliptic curves

19488 = 2⁵ · 3 · 7 · 29

Class	r	Atkin-Lehner	Eigenvalues
19488a (2 curves)	1	2+ 3+ 7- 29-	2+ 3+  0 7-  4 -2  6  0
Curve Equation t Generators 19488a1 [0,-1,0,2,-1232] 2 [39:238:1] 19488a2 [0,-1,0,-1713,-26271] 2 [-24:21:1]
19488b (2 curves)	1	2+ 3- 7+ 29-	2+ 3-  0 7+ -4 -2  6  0
Curve Equation t Generators 19488b1 [0,1,0,2,1232] 2 [74:369:8] 19488b2 [0,1,0,-1713,26271] 2 [9:108:1]
19488c (1 curve)	1	2+ 3- 7+ 29-	2+ 3- -2 7+ -3  1 -2  1
Curve Equation t Generators 19488c1 [0,1,0,56,200] 1 [2:18:1]
19488d (2 curves)	1	2- 3+ 7+ 29-	2- 3+  0 7+  4  4  4  0
Curve Equation t Generators 19488d1 [0,-1,0,2,88] 2 [4:12:1] 19488d2 [0,-1,0,-288,1944] 2 [-19:14:1]
19488e (1 curve)	0	2- 3+ 7- 29-	2- 3+ -2 7-  3  1 -2 -1
Curve Equation t 19488e1 [0,-1,0,56,-200] 1
19488f (4 curves)	2	2- 3+ 7- 29-	2- 3+ -2 7- -4 -2  2 -4
Curve Equation t Generators 19488f1 [0,-1,0,-974,-10296] 4 [-20:28:1]&[-14:20:1] 19488f2 [0,-1,0,-15184,-715112] 2 [253:3402:1]&[3482:69255:8] 19488f3 [0,-1,0,-3584,72180] 4 [-67:84:1]&[17:126:1] 19488f4 [0,-1,0,1231,-52191] 4 [29:84:1]&[43:280:1]
19488g (4 curves)	0	2- 3- 7+ 29-	2- 3- -2 7+  4 -2  2  4
Curve Equation t 19488g1 [0,1,0,-974,10296] 4 19488g2 [0,1,0,-3584,-72180] 2 19488g3 [0,1,0,-15184,715112] 4 19488g4 [0,1,0,1231,52191] 4
19488h (2 curves)	1	2- 3- 7- 29-	2- 3-  0 7- -4  4  4  0
Curve Equation t Generators 19488h1 [0,1,0,2,-88] 2 [13:48:1] 19488h2 [0,1,0,-288,-1944] 2 [-10:6:1]

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

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