Cremona's table of elliptic curves

42050 = 2 · 5² · 29²

Class	r	Atkin-Lehner	Eigenvalues
42050a (1 curve)	1	2+ 5+ 29+	2+  0 5+  0  2 -4  6  8
Curve Equation t Generators 42050a1 [1,-1,0,-33377,2382461] 1 [805:21884:1]
42050b (1 curve)	1	2+ 5+ 29+	2+  0 5+ -1 -2  0 -1  8
Curve Equation t Generators 42050b1 [1,-1,0,-59042,5172116] 1 [-11:2418:1]
42050c (2 curves)	1	2+ 5+ 29+	2+  0 5+  2 -2  6  2  2
Curve Equation t Generators 42050c1 [1,-1,0,-1475692,-674996784] 2 [24468308040:365097134628:16194277] 42050c2 [1,-1,0,206308,-2126562784] 2 [6186884:416225308:1331]
42050d (1 curve)	1	2+ 5+ 29+	2+  0 5+  3  2 -4  3 -4
Curve Equation t Generators 42050d1 [1,-1,0,-1815722942,-29776045778284] 1 [-16238423833264218869768652953137247044902317721120112850890517743:-21686725771306241354730485637604772857605514105753164544350150866:663688601846183740734223516743048016029642276797593564091933]
42050e (1 curve)	1	2+ 5+ 29+	2+  0 5+ -4 -5  3 -4 -4
Curve Equation t Generators 42050e1 [1,-1,0,-317,3591] 1 [-1:63:1]
42050f (4 curves)	1	2+ 5+ 29+	2+  1 5+ -2  3  4 -3 -5
Curve Equation t Generators 42050f1 [1,0,1,-2541,59208] 1 [-426:1891:8] 42050f2 [1,0,1,18484,-436982] 1 [232326:3394619:5832] 42050f3 [1,0,1,-10951,-5205452] 1 [645816470:8733766787:2197000] 42050f4 [1,0,1,-2639076,-1650411702] 1 [251914149216073259345430:-265796283623024203443905633:226501329287493000]
42050g (2 curves)	1	2+ 5+ 29+	2+ -2 5+  1  6  4 -3  4
Curve Equation t Generators 42050g1 [1,0,1,-76,48] 1 [-8:16:1] 42050g2 [1,0,1,-3701,-86952] 1 [-2252:1169:64]
42050h (1 curve)	1	2+ 5+ 29+	2+  3 5+  0  5  2 -3 -4
Curve Equation t Generators 42050h1 [1,-1,0,1133,19541] 1 [14570175:125435578:421875]
42050i (1 curve)	1	2+ 5+ 29+	2+  3 5+ -4  1 -6  2 -1
Curve Equation t Generators 42050i1 [1,-1,0,5525633,2482390541] 1 [18890455208239960922031711:-4420125206142069953028949193:347157528695672950809]
42050j (1 curve)	1	2+ 5+ 29+	2+ -3 5+  2  1 -3 -4  8
Curve Equation t Generators 42050j1 [1,-1,0,-24967,2197441] 1 [80:-881:1]
42050k (2 curves)	2	2+ 5+ 29-	2+  0 5+ -4  2 -2 -6  2
Curve Equation t Generators 42050k1 [1,-1,0,-1042,10116] 2 [-16:158:1]&[-7:134:1] 42050k2 [1,-1,0,-15542,749616] 2 [74:-12:1]&[80:76:1]
42050l (2 curves)	0	2+ 5+ 29-	2+ -1 5+  2 -5 -1  2  4
Curve Equation t 42050l1 [1,1,0,-1525,-23875] 1 42050l2 [1,1,0,9350,900500] 1
42050m (2 curves)	0	2+ 5+ 29-	2+ -1 5+ -2  3  4 -6 -7
Curve Equation t 42050m1 [1,1,0,241350,-39090500] 1 42050m2 [1,1,0,-5855900,-5508323750] 1
42050n (2 curves)	0	2+ 5+ 29-	2+  2 5+  1  0 -2  3  2
Curve Equation t 42050n1 [1,1,0,-284275,58150125] 1 42050n2 [1,1,0,-1125275,-401876875] 1
42050o (1 curve)	0	2+ 5+ 29-	2+ -2 5+  5  0 -2  7 -6
Curve Equation t 42050o1 [1,0,1,-978101,-371629152] 1
42050p (2 curves)	0	2+ 5- 29+	2+ -1 5- -4  3 -4 -3  7
Curve Equation t 42050p1 [1,1,0,-8946575,10307417125] 1 42050p2 [1,1,0,12078425,47946372125] 1
42050q (2 curves)	0	2+ 5- 29+	2+  2 5-  2  6  2  6 -2
Curve Equation t 42050q1 [1,1,0,10075,-215275] 1 42050q2 [1,1,0,-200175,-35158825] 1
42050r (1 curve)	1	2+ 5- 29-	2+  3 5-  0 -5 -2 -3  4
Curve Equation t Generators 42050r1 [1,-1,0,38108,3858416] 1 [-58689:403802:729]
42050s (2 curves)	0	2- 5+ 29+	2-  1 5+ -2 -3  4  6  7
Curve Equation t 42050s1 [1,0,0,287,-1583] 1 42050s2 [1,0,0,-6963,-226333] 1
42050t (2 curves)	0	2- 5+ 29+	2-  1 5+  4  3  4  3  7
Curve Equation t 42050t1 [1,0,0,-357863,82459337] 1 42050t2 [1,0,0,483137,383570977] 1
42050u (2 curves)	0	2- 5+ 29+	2- -1 5+  2  3  1  8  0
Curve Equation t 42050u1 [1,1,1,104687,21698031] 1 42050u2 [1,1,1,-9566813,-11470566969] 1
42050v (1 curve)	0	2- 5+ 29+	2-  2 5+  5  0 -2 -7  6
Curve Equation t 42050v1 [1,1,1,-1163,-15719] 1
42050w (2 curves)	0	2- 5+ 29+	2- -2 5+  1  0 -2 -3 -2
Curve Equation t 42050w1 [1,0,0,-239075713,1421092305417] 1 42050w2 [1,0,0,-946356713,-9790018825583] 1
42050x (2 curves)	0	2- 5+ 29+	2- -2 5+ -2  6 -2 -6 -2
Curve Equation t 42050x1 [1,0,0,251862,-27413108] 1 42050x2 [1,0,0,-5004388,-4384844358] 1
42050y (1 curve)	1	2- 5+ 29-	2-  0 5+ -1  2  0  1 -8
Curve Equation t Generators 42050y1 [1,-1,1,-49654480,125795156147] 1 [-1051:421025:1]
42050z (1 curve)	1	2- 5+ 29-	2-  0 5+  3 -2 -4 -3  4
Curve Equation t Generators 42050z1 [1,-1,1,-2159005,-1220359003] 1 [-841:520:1]
42050ba (2 curves)	1	2- 5+ 29-	2-  0 5+ -4 -2 -2  6 -2
Curve Equation t Generators 42050ba1 [1,-1,1,-876480,240584147] 2 [229:7085:1] 42050ba2 [1,-1,1,-13070980,18190888147] 2 [1092808:-2347785:512]
42050bb (1 curve)	1	2- 5+ 29-	2-  0 5+ -4  5  3  4  4
Curve Equation t Generators 42050bb1 [1,-1,1,-266755,85713997] 1 [50462:3969515:8]
42050bc (2 curves)	1	2- 5+ 29-	2-  1 5+  2  5 -1 -2 -4
Curve Equation t Generators 42050bc1 [1,0,0,-1282963,-566893583] 1 [2961074208035580:-42160795842007403:2119348251125] 42050bc2 [1,0,0,7862912,21867937792] 1 [459648:63766912:343]
42050bd (2 curves)	1	2- 5+ 29-	2-  2 5+  1 -6  4  3 -4
Curve Equation t Generators 42050bd1 [1,1,1,-63513,1303781] 1 [-1618260:52708879:21952] 42050bd2 [1,1,1,-3112138,-2114441969] 1 [-11042594999660:3679536970241:10823192128]
42050be (1 curve)	1	2- 5+ 29-	2- -3 5+  0 -5  2  3  4
Curve Equation t Generators 42050be1 [1,-1,1,952695,483254697] 1 [5995:467776:1]
42050bf (1 curve)	1	2- 5+ 29-	2- -3 5+ -4 -1 -6 -2  1
Curve Equation t Generators 42050bf1 [1,-1,1,6570,100197] 1 [109:1395:1]
42050bg (1 curve)	1	2- 5- 29+	2-  0 5-  0  2  4 -6  8
Curve Equation t Generators 42050bg1 [1,-1,1,-834430,296973197] 1 [-181:21115:1]
42050bh (4 curves)	1	2- 5- 29+	2- -1 5-  2  3 -4  3 -5
Curve Equation t Generators 42050bh1 [1,1,1,-438,-41819] 1 [8610:12407:216] 42050bh2 [1,1,1,-105563,-13245519] 1 [13478970:200257483:27000] 42050bh3 [1,1,1,-63513,7401031] 1 [785:20632:1] 42050bh4 [1,1,1,462112,-54622719] 1 [669:23213:1]
42050bi (1 curve)	1	2- 5- 29+	2- -3 5-  0  5 -2  3 -4
Curve Equation t Generators 42050bi1 [1,-1,1,45,147] 1 [-1:10:1]

Data from Elliptic Curve Data by J. E. Cremona.
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