Cremona's table of elliptic curves

41475 = 3 · 5² · 7 · 79

Class	r	Atkin-Lehner	Eigenvalues
41475a (4 curves)	1	3+ 5+ 7+ 79+	1 3+ 5+ 7+ -4  2 -6  0
Curve Equation t Generators 41475a1 [1,1,0,-2600,-52125] 2 [1570:61415:1] 41475a2 [1,1,0,-2725,-47000] 4 [-162:239:8] 41475a3 [1,1,0,5150,-259625] 2 [2580:6685:64] 41475a4 [1,1,0,-12600,496125] 2 [140:-1295:1]
41475b (1 curve)	0	3+ 5+ 7+ 79-	1 3+ 5+ 7+  0 -1 -1  7
Curve Equation t 41475b1 [1,1,0,-1025,-5820] 1
41475c (1 curve)	0	3+ 5+ 7+ 79-	2 3+ 5+ 7+ -3  3  4 -2
Curve Equation t 41475c1 [0,-1,1,-13219008,18385759793] 1
41475d (4 curves)	0	3+ 5+ 7- 79+	-1 3+ 5+ 7- -4  6  2 -4
Curve Equation t 41475d1 [1,1,1,-15838,758906] 4 41475d2 [1,1,1,-21963,109656] 4 41475d3 [1,1,1,87412,984656] 2 41475d4 [1,1,1,-229338,-42194844] 2
41475e (1 curve)	0	3+ 5+ 7- 79+	2 3+ 5+ 7- -1  3 -4 -4
Curve Equation t 41475e1 [0,-1,1,-1258,-9207] 1
41475f (1 curve)	1	3+ 5+ 7- 79-	-1 3+ 5+ 7-  4 -1  3  7
Curve Equation t Generators 41475f1 [1,1,1,-70013,-7159594] 1 [-111744:58213:729]
41475g (2 curves)	1	3+ 5+ 7- 79-	-1 3+ 5+ 7-  4  2  0 -2
Curve Equation t Generators 41475g1 [1,1,1,162,18906] 2 [0:137:1] 41475g2 [1,1,1,-9713,354656] 2 [-30:802:1]
41475h (1 curve)	1	3+ 5+ 7- 79-	2 3+ 5+ 7-  1  5  0 -2
Curve Equation t Generators 41475h1 [0,-1,1,-9625658,-11158809157] 1 [1891144:31000469:512]
41475i (2 curves)	0	3+ 5- 7+ 79+	1 3+ 5- 7+  0  6  6 -8
Curve Equation t 41475i1 [1,1,0,-20825,1029000] 2 41475i2 [1,1,0,28550,5225875] 2
41475j (1 curve)	1	3+ 5- 7+ 79-	0 3+ 5- 7+ -3  1  6  6
Curve Equation t Generators 41475j1 [0,-1,1,-8083,280443] 1 [67:-188:1]
41475k (1 curve)	2	3+ 5- 7- 79-	0 3+ 5- 7-  1 -3 -6 -2
Curve Equation t Generators 41475k1 [0,-1,1,-48193,4004838] 1 [88:661:1]&[-108:2817:1]
41475l (2 curves)	2	3- 5+ 7+ 79+	-1 3- 5+ 7+  0 -6  0 -6
Curve Equation t Generators 41475l1 [1,0,0,-363,11592] 2 [-27:57:1]&[-66:981:8] 41475l2 [1,0,0,-10238,396717] 2 [67:-146:1]&[-634:7067:8]
41475m (1 curve)	0	3- 5+ 7+ 79+	-2 3- 5+ 7+  4  0  0  4
Curve Equation t 41475m1 [0,1,1,142,-5056] 1
41475n (4 curves)	1	3- 5+ 7+ 79-	1 3- 5+ 7+  0 -6 -2  4
Curve Equation t Generators 41475n1 [1,0,1,-21001,9231023] 2 [73:2807:1] 41475n2 [1,0,1,-801126,274473523] 4 [467:1266:1] 41475n3 [1,0,1,-1285001,-96174727] 2 [-993:14671:1] 41475n4 [1,0,1,-12799251,17623762273] 2 [16534:-7473:8]
41475o (2 curves)	1	3- 5+ 7+ 79-	-1 3- 5+ 7+ -2 -2  0 -2
Curve Equation t Generators 41475o1 [1,0,0,-3338,65667] 2 [51:144:1] 41475o2 [1,0,0,-13213,-516958] 2 [-53:214:1]
41475p (2 curves)	0	3- 5+ 7- 79-	-1 3- 5+ 7- -4 -2 -6  0
Curve Equation t 41475p1 [1,0,0,-263,-1608] 2 41475p2 [1,0,0,112,-5733] 2
41475q (1 curve)	0	3- 5+ 7- 79-	2 3- 5+ 7-  5  1  0  6
Curve Equation t 41475q1 [0,1,1,-1107408,119413469] 1
41475r (1 curve)	0	3- 5- 7+ 79-	0 3- 5- 7+  1  3  6 -2
Curve Equation t 41475r1 [0,1,1,-1204833,498195119] 1
41475s (1 curve)	0	3- 5- 7+ 79-	1 3- 5- 7+  4  1 -3  7
Curve Equation t 41475s1 [1,0,1,-2801,-57277] 1
41475t (2 curves)	2	3- 5- 7- 79+	-1 3- 5- 7-  0 -6 -6 -8
Curve Equation t Generators 41475t1 [1,0,0,-833,8232] 2 [7:49:1]&[-154:1127:8] 41475t2 [1,0,0,1142,41807] 2 [2:-211:1]&[-13:164:1]
41475u (1 curve)	1	3- 5- 7- 79-	0 3- 5- 7- -3 -1 -6  6
Curve Equation t Generators 41475u1 [0,1,1,-323,2114] 1 [-2:52:1]
41475v (1 curve)	1	3- 5- 7- 79-	-1 3- 5- 7-  0  1  1  7
Curve Equation t Generators 41475v1 [1,0,0,-25638,-676233] 1 [-123:849:1]

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

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