Cremona's table of elliptic curves

738 = 2 · 3² · 41

Class	r	Atkin-Lehner	Eigenvalues
738a (1 curve)	1	2+ 3+ 41+	2+ 3+  1 -4  4 -5  1 -3
Curve Equation t Generators 738a1 [1,-1,0,66,116] 1 [1:13:1]
738b (2 curves)	0	2+ 3- 41+	2+ 3- -1 -2 -2 -1  7  5
Curve Equation t 738b1 [1,-1,0,-1575,751869] 1 738b2 [1,-1,0,-5215815,4586220189] 1
738c (4 curves)	0	2+ 3- 41+	2+ 3-  2  4  4  2 -2 -4
Curve Equation t 738c1 [1,-1,0,-81,-243] 2 738c2 [1,-1,0,-261,1377] 4 738c3 [1,-1,0,-3951,96579] 2 738c4 [1,-1,0,549,7695] 2
738d (1 curve)	1	2+ 3- 41-	2+ 3- -1  2 -2 -7 -7  7
Curve Equation t Generators 738d1 [1,-1,0,-2430,46732] 1 [41:101:1]
738e (1 curve)	1	2- 3+ 41-	2- 3+ -1 -4 -4 -5 -1 -3
Curve Equation t Generators 738e1 [1,-1,1,7,-7] 1 [3:4:1]
738f (1 curve)	1	2- 3- 41+	2- 3- -3 -2 -2  1 -5 -1
Curve Equation t Generators 738f1 [1,-1,1,-374,2949] 1 [-7:75:1]
738g (2 curves)	0	2- 3- 41-	2- 3-  2  2  4 -4  2 -8
Curve Equation t 738g1 [1,-1,1,-599,-5457] 2 738g2 [1,-1,1,-239,-12225] 2
738h (2 curves)	0	2- 3- 41-	2- 3-  2  2 -4  4  2  0
Curve Equation t 738h1 [1,-1,1,-4085069,3178971893] 2 738h2 [1,-1,1,-4079309,3188379125] 2
738i (2 curves)	0	2- 3- 41-	2- 3-  2 -4  2  4  2  6
Curve Equation t 738i1 [1,-1,1,-14,-7] 2 738i2 [1,-1,1,-104,425] 2
738j (2 curves)	0	2- 3- 41-	2- 3- -3  2  6 -1 -3  5
Curve Equation t 738j1 [1,-1,1,-14,-61] 1 738j2 [1,-1,1,121,1559] 3

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

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