Cremona's table of elliptic curves

41745 = 3 · 5 · 11² · 23

Class	r	Atkin-Lehner	Eigenvalues
41745a (2 curves)	1	3+ 5+ 11+ 23+	1 3+ 5+ -2 11+ -2  0 -4
Curve Equation t Generators 41745a1 [1,1,0,-257853,50289408] 2 [-29228:561655:64] 41745a2 [1,1,0,-251198,53016627] 2 [326:2267:1]
41745b (2 curves)	1	3+ 5+ 11+ 23+	-1 3+ 5+  2 11+  2  0  4
Curve Equation t Generators 41745b1 [1,1,1,-2131,-38752] 2 [54:58:1] 41745b2 [1,1,1,-2076,-40776] 2 [116:1080:1]
41745c (1 curve)	1	3+ 5+ 11+ 23+	2 3+ 5+  2 11+ -1  6 -5
Curve Equation t Generators 41745c1 [0,-1,1,444,43097] 1 [313480:7755481:512]
41745d (1 curve)	1	3+ 5+ 11+ 23+	-2 3+ 5+ -2 11+  1 -6  5
Curve Equation t Generators 41745d1 [0,-1,1,4,-34] 1 [4:5:1]
41745e (1 curve)	0	3+ 5+ 11- 23+	1 3+ 5+ -5 11-  4  2  2
Curve Equation t 41745e1 [1,1,0,-123,-612] 1
41745f (1 curve)	0	3+ 5+ 11- 23+	-1 3+ 5+  5 11- -4 -2 -2
Curve Equation t 41745f1 [1,1,1,-14946,739938] 1
41745g (1 curve)	0	3+ 5+ 11- 23+	2 3+ 5+ -4 11- -1 -2  1
Curve Equation t 41745g1 [0,-1,1,45214,-2465233] 1
41745h (1 curve)	1	3+ 5+ 11- 23-	0 3+ 5+ -1 11-  0 -5  0
Curve Equation t Generators 41745h1 [0,-1,1,-88491,10161722] 1 [180:181:1]
41745i (2 curves)	1	3+ 5+ 11- 23-	1 3+ 5+ -4 11-  4  0 -2
Curve Equation t Generators 41745i1 [1,1,0,-21298,-1203473] 2 [32070:385177:125] 41745i2 [1,1,0,-14643,-1960812] 2 [944:28278:1]
41745j (1 curve)	1	3+ 5- 11- 23+	0 3+ 5-  1 11-  2  0 -5
Curve Equation t Generators 41745j1 [0,-1,1,1775,-137919] 1 [51:287:1]
41745k (1 curve)	1	3+ 5- 11- 23+	0 3+ 5- -1 11- -2  0  5
Curve Equation t Generators 41745k1 [0,-1,1,15,98] 1 [2:-12:1]
41745l (1 curve)	1	3+ 5- 11- 23+	0 3+ 5-  5 11-  4 -3 -4
Curve Equation t Generators 41745l1 [0,-1,1,119145,26800553] 1 [-51:4537:1]
41745m (4 curves)	1	3+ 5- 11- 23+	-1 3+ 5-  0 11-  6 -6  4
Curve Equation t Generators 41745m1 [1,1,1,905,43220] 4 [18374:871689:8] 41745m2 [1,1,1,-14220,599820] 4 [-16:915:1] 41745m3 [1,1,1,-47495,-3300010] 2 [-2247:8975:27] 41745m4 [1,1,1,-222945,40424550] 2 [-60:7350:1]
41745n (1 curve)	1	3+ 5- 11- 23+	2 3+ 5-  0 11- -3  6  1
Curve Equation t Generators 41745n1 [0,-1,1,156050,-73986639] 1 [7703563616400:-2672686707985161:64000000]
41745o (1 curve)	1	3+ 5- 11- 23+	-2 3+ 5- -3 11-  2 -5  2
Curve Equation t Generators 41745o1 [0,-1,1,3590,114366] 1 [37:-545:1]
41745p (1 curve)	1	3+ 5- 11- 23+	-2 3+ 5-  4 11- -5  2 -5
Curve Equation t Generators 41745p1 [0,-1,1,-35352610,-80895102102] 1 [251409:126022407:1]
41745q (1 curve)	0	3+ 5- 11- 23-	2 3+ 5-  4 11-  2  3  2
Curve Equation t 41745q1 [0,-1,1,-537280,-157246497] 1
41745r (1 curve)	2	3+ 5- 11- 23-	-2 3+ 5- -4 11- -2 -3 -2
Curve Equation t Generators 41745r1 [0,-1,1,-4440,119756] 1 [-70:287:1]&[30:-113:1]
41745s (2 curves)	1	3- 5+ 11- 23+	1 3- 5+  0 11-  0  0  6
Curve Equation t Generators 41745s1 [1,0,1,-7384,-241639] 2 [99:-38:1] 41745s2 [1,0,1,-729,-659573] 2 [241:3509:1]
41745t (1 curve)	1	3- 5+ 11- 23+	1 3- 5+  0 11-  6 -6 -3
Curve Equation t Generators 41745t1 [1,0,1,-24819,1502851] 1 [91:-43:1]
41745u (4 curves)	1	3- 5+ 11- 23+	1 3- 5+ -4 11-  2 -6 -8
Curve Equation t Generators 41745u1 [1,0,1,1086,1087] 2 [11:114:1] 41745u2 [1,0,1,-4359,7621] 4 [814:5889:8] 41745u3 [1,0,1,-46104,-3799523] 2 [902594:-11650169:2744] 41745u4 [1,0,1,-49734,4254721] 2 [109:308:1]
41745v (1 curve)	1	3- 5+ 11- 23+	1 3- 5+ -4 11- -2 -2  1
Curve Equation t Generators 41745v1 [1,0,1,-11619,-598589] 1 [131:297:1]
41745w (1 curve)	1	3- 5+ 11- 23+	-1 3- 5+  0 11- -6  6  3
Curve Equation t Generators 41745w1 [1,0,0,-3003041,-2003298054] 1 [5002718449447:-142667110342865:2092240639]
41745x (1 curve)	1	3- 5+ 11- 23+	-1 3- 5+  4 11-  2  2 -1
Curve Equation t Generators 41745x1 [1,0,0,-96,441] 1 [3:-15:1]
41745y (4 curves)	1	3- 5+ 11- 23+	-1 3- 5+  4 11-  2  2 -4
Curve Equation t Generators 41745y1 [1,0,0,-16761,-1668864] 2 [83293805282606107:1358139551890576048:241559928143639] 41745y2 [1,0,0,-336806,-75215205] 4 [95628933:3132413301:68921] 41745y3 [1,0,0,-406381,-41916610] 2 [-4713:133823:27] 41745y4 [1,0,0,-5387951,-4814199444] 2 [2313730993362504:-37907036172361602:827671530869]
41745z (4 curves)	1	3- 5+ 11- 23+	-1 3- 5+ -4 11- -6  2  4
Curve Equation t Generators 41745z1 [1,0,0,55234,-3140829] 2 [175:3361:1] 41745z2 [1,0,0,-264811,-27400240] 4 [-331:5066:1] 41745z3 [1,0,0,-2004186,1072928385] 2 [-1101:44655:1] 41745z4 [1,0,0,-3646156,-2679050989] 2 [-1090:1271:1]
41745ba (1 curve)	0	3- 5+ 11- 23-	0 3- 5+  3 11-  0  3  8
Curve Equation t 41745ba1 [0,1,1,-161,-2260] 1
41745bb (2 curves)	0	3- 5- 11- 23+	0 3- 5-  1 11-  4 -3  4
Curve Equation t 41745bb1 [0,1,1,-50921075,-140116149871] 1 41745bb2 [0,1,1,85802875,-690762155506] 1
41745bc (4 curves)	0	3- 5- 11- 23+	-1 3- 5-  4 11- -2 -2  4
Curve Equation t 41745bc1 [1,0,0,-28740,1872927] 4 41745bc2 [1,0,0,-29345,1789800] 4 41745bc3 [1,0,0,30550,8174607] 2 41745bc4 [1,0,0,-98920,-9912715] 2
41745bd (1 curve)	0	3- 5- 11- 23+	2 3- 5-  5 11-  6 -1 -2
Curve Equation t 41745bd1 [0,1,1,-12140,-589231] 1
41745be (1 curve)	1	3- 5- 11- 23-	1 3- 5- -3 11-  0  6 -6
Curve Equation t Generators 41745be1 [1,0,1,162742,-3367069] 1 [615:-18458:1]
41745bf (4 curves)	1	3- 5- 11- 23-	-1 3- 5-  0 11- -6  6  0
Curve Equation t Generators 41745bf1 [1,0,0,-947130,-354861693] 2 [41463:8419836:1] 41745bf2 [1,0,0,-947735,-354385800] 4 [1141:6502:1] 41745bf3 [1,0,0,-581710,-631027495] 2 [2477:113336:1] 41745bf4 [1,0,0,-1323440,-47284533] 2 [-551:22963:1]
41745bg (1 curve)	1	3- 5- 11- 23-	-1 3- 5-  3 11-  0 -6  6
Curve Equation t Generators 41745bg1 [1,0,0,1345,2652] 1 [19:-197:1]

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

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