Cremona's table of elliptic curves

37350 = 2 · 3² · 5² · 83

Class	r	Atkin-Lehner	Eigenvalues
37350a (2 curves)	1	2+ 3+ 5+ 83+	2+ 3+ 5+  0 -4 -4 -4 -2
Curve Equation t Generators 37350a1 [1,-1,0,-2442,9716] 2 [-11:193:1] 37350a2 [1,-1,0,9558,69716] 2 [55:844:1]
37350b (1 curve)	1	2+ 3+ 5+ 83+	2+ 3+ 5+  2 -1  2  0 -5
Curve Equation t Generators 37350b1 [1,-1,0,-192,9216] 1 [0:96:1]
37350c (1 curve)	0	2+ 3+ 5+ 83-	2+ 3+ 5+  0  0  1 -2  6
Curve Equation t 37350c1 [1,-1,0,93,-289] 1
37350d (2 curves)	0	2+ 3+ 5+ 83-	2+ 3+ 5+  0  0 -2  4 -6
Curve Equation t 37350d1 [1,-1,0,-563667,161888741] 2 37350d2 [1,-1,0,-9001167,10396576241] 2
37350e (1 curve)	1	2+ 3+ 5- 83-	2+ 3+ 5-  0  0 -1 -2  6
Curve Equation t Generators 37350e1 [1,-1,0,258,1166] 1 [19:103:1]
37350f (4 curves)	0	2+ 3- 5+ 83+	2+ 3- 5+  0  0  6  6  4
Curve Equation t 37350f1 [1,-1,0,23769333,14130316741] 2 37350f2 [1,-1,0,-100232667,115935958741] 4 37350f3 [1,-1,0,-917077167,-10603514414759] 2 37350f4 [1,-1,0,-1267420167,17349459396241] 2
37350g (2 curves)	2	2+ 3- 5+ 83+	2+ 3- 5+  0 -6 -6  0 -2
Curve Equation t Generators 37350g1 [1,-1,0,-49167,-3850259] 2 [-151:413:1]&[-130:641:1] 37350g2 [1,-1,0,-769167,-259450259] 2 [-505:266:1]&[2249:95738:1]
37350h (2 curves)	0	2+ 3- 5+ 83+	2+ 3- 5+  1 -3  4 -3 -4
Curve Equation t 37350h1 [1,-1,0,-2970117,-1981220459] 1 37350h2 [1,-1,0,8420508,-10567473584] 1
37350i (1 curve)	0	2+ 3- 5+ 83+	2+ 3- 5+ -1  5  2 -3 -2
Curve Equation t 37350i1 [1,-1,0,-1467,-22059] 1
37350j (1 curve)	0	2+ 3- 5+ 83+	2+ 3- 5+  3  5  2  5 -2
Curve Equation t 37350j1 [1,-1,0,6348,948176] 1
37350k (1 curve)	0	2+ 3- 5+ 83+	2+ 3- 5+ -3 -1  2  2 -2
Curve Equation t 37350k1 [1,-1,0,-672,-6544] 1
37350l (1 curve)	2	2+ 3- 5+ 83+	2+ 3- 5+ -3 -3  0 -3 -8
Curve Equation t Generators 37350l1 [1,-1,0,-117,1201] 1 [-10:41:1]&[-7:44:1]
37350m (2 curves)	0	2+ 3- 5+ 83+	2+ 3- 5+  4 -2  2  0  6
Curve Equation t 37350m1 [1,-1,0,-4167,15741] 2 37350m2 [1,-1,0,-49167,4200741] 2
37350n (2 curves)	2	2+ 3- 5+ 83+	2+ 3- 5+ -4  0  0 -2  0
Curve Equation t Generators 37350n1 [1,-1,0,-1017,11641] 2 [44:-247:1]&[-31:128:1] 37350n2 [1,-1,0,1233,54391] 2 [29:-352:1]&[-21:148:1]
37350o (2 curves)	0	2+ 3- 5+ 83+	2+ 3- 5+ -5 -3  4  3  8
Curve Equation t 37350o1 [1,-1,0,8433,216841] 1 37350o2 [1,-1,0,-188442,31913716] 1
37350p (4 curves)	1	2+ 3- 5+ 83-	2+ 3- 5+  0  0 -6  6  4
Curve Equation t Generators 37350p1 [1,-1,0,-102042,12358116] 2 [24:3138:1] 37350p2 [1,-1,0,-214542,-19704384] 4 [-101:1013:1] 37350p3 [1,-1,0,719208,-145760634] 2 [37249:-7209462:1] 37350p4 [1,-1,0,-2948292,-1946998134] 2 [2043:22509:1]
37350q (1 curve)	1	2+ 3- 5+ 83-	2+ 3- 5+  0  4 -2 -3  6
Curve Equation t Generators 37350q1 [1,-1,0,-19827,1079541] 1 [70:141:1]
37350r (4 curves)	1	2+ 3- 5+ 83-	2+ 3- 5+  0  4 -2 -6  0
Curve Equation t Generators 37350r1 [1,-1,0,-1491417,-307730259] 2 [-78813:-1598031:343] 37350r2 [1,-1,0,-19923417,-34204178259] 4 [28547759733:8035296536724:357911] 37350r3 [1,-1,0,-16035417,-47956034259] 2 [318855:179874669:1] 37350r4 [1,-1,0,-318723417,-2190046178259] 2 [53526295096024958937:-14809015402813921022973:664401638514979]
37350s (1 curve)	1	2+ 3- 5+ 83-	2+ 3- 5+ -3  1  4  3  6
Curve Equation t Generators 37350s1 [1,-1,0,468,-5184] 1 [60:456:1]
37350t (1 curve)	1	2+ 3- 5+ 83-	2+ 3- 5+  4 -3  6 -4 -3
Curve Equation t Generators 37350t1 [1,-1,0,-1917,-97259] 1 [218:3023:1]
37350u (4 curves)	1	2+ 3- 5+ 83-	2+ 3- 5+ -4 -4 -2  2  0
Curve Equation t Generators 37350u1 [1,-1,0,12708,-318384] 2 [105:1419:1] 37350u2 [1,-1,0,-59292,-2694384] 4 [-141:1758:1] 37350u3 [1,-1,0,-464292,120020616] 2 [495:3114:1] 37350u4 [1,-1,0,-806292,-278337384] 2 [1113:13659:1]
37350v (2 curves)	1	2+ 3- 5- 83+	2+ 3- 5- -2  0  2  0 -2
Curve Equation t Generators 37350v1 [1,-1,0,48,-244] 2 [13:43:1] 37350v2 [1,-1,0,-402,-2494] 2 [-11:28:1]
37350w (1 curve)	1	2+ 3- 5- 83+	2+ 3- 5- -5  5 -4  1 -6
Curve Equation t Generators 37350w1 [1,-1,0,-4167,-117059] 1 [110:809:1]
37350x (2 curves)	0	2+ 3- 5- 83-	2+ 3- 5-  0 -6 -2  2 -4
Curve Equation t 37350x1 [1,-1,0,-1274652,-553920944] 2 37350x2 [1,-1,0,-20397852,-35453760944] 2
37350y (1 curve)	0	2+ 3- 5- 83-	2+ 3- 5- -1  1  4  3  0
Curve Equation t 37350y1 [1,-1,0,-3492,-537584] 1
37350z (2 curves)	0	2+ 3- 5- 83-	2+ 3- 5- -1 -3 -4  6  2
Curve Equation t 37350z1 [1,-1,0,333,-459] 1 37350z2 [1,-1,0,-4167,115641] 3
37350ba (1 curve)	0	2+ 3- 5- 83-	2+ 3- 5-  2  6 -1  4  4
Curve Equation t 37350ba1 [1,-1,0,-22617,1754541] 1
37350bb (1 curve)	2	2+ 3- 5- 83-	2+ 3- 5- -3 -3  2 -5 -6
Curve Equation t Generators 37350bb1 [1,-1,0,-42117,3337541] 1 [-206:1903:1]&[94:-497:1]
37350bc (1 curve)	0	2- 3+ 5+ 83+	2- 3+ 5+  0  0  1  2  6
Curve Equation t 37350bc1 [1,-1,1,10,7] 1
37350bd (2 curves)	0	2- 3+ 5+ 83+	2- 3+ 5+  0  0 -2 -4 -6
Curve Equation t 37350bd1 [1,-1,1,-62630,-5975003] 2 37350bd2 [1,-1,1,-1000130,-384725003] 2
37350be (2 curves)	1	2- 3+ 5+ 83-	2- 3+ 5+  0  4 -4  4 -2
Curve Equation t Generators 37350be1 [1,-1,1,-21980,-240353] 2 [-91:1045:1] 37350be2 [1,-1,1,86020,-1968353] 2 [179:4285:1]
37350bf (1 curve)	1	2- 3+ 5+ 83-	2- 3+ 5+  2  1  2  0 -5
Curve Equation t Generators 37350bf1 [1,-1,1,-1730,-247103] 1 [73:71:1]
37350bg (1 curve)	1	2- 3+ 5- 83+	2- 3+ 5-  0  0 -1  2  6
Curve Equation t Generators 37350bg1 [1,-1,1,2320,-33803] 1 [868840:42449:64000]
37350bh (2 curves)	1	2- 3- 5+ 83+	2- 3- 5+  0  2  4  0 -6
Curve Equation t Generators 37350bh1 [1,-1,1,-9005,292997] 2 [-11:630:1] 37350bh2 [1,-1,1,13495,1507997] 2 [79:1710:1]
37350bi (1 curve)	1	2- 3- 5+ 83+	2- 3- 5+  1  1 -4 -3  0
Curve Equation t Generators 37350bi1 [1,-1,1,-140,-4273] 1 [33:-179:1]
37350bj (2 curves)	1	2- 3- 5+ 83+	2- 3- 5+  1 -3  4 -6  2
Curve Equation t Generators 37350bj1 [1,-1,1,8320,-49053] 1 [15:273:1] 37350bj2 [1,-1,1,-104180,14350947] 1 [-1628745:62710341:12167]
37350bk (2 curves)	1	2- 3- 5+ 83+	2- 3- 5+ -2  0 -2  2  4
Curve Equation t Generators 37350bk1 [1,-1,1,-6755,965247] 2 [-138:8365:8] 37350bk2 [1,-1,1,-193505,32712747] 2 [2742:19125:8]
37350bl (1 curve)	1	2- 3- 5+ 83+	2- 3- 5+ -2  6  1 -4  4
Curve Equation t Generators 37350bl1 [1,-1,1,-905,14217] 1 [23:60:1]
37350bm (1 curve)	1	2- 3- 5+ 83+	2- 3- 5+  3 -3 -2  5 -6
Curve Equation t Generators 37350bm1 [1,-1,1,-1685,27037] 1 [25:-4:1]
37350bn (1 curve)	1	2- 3- 5+ 83+	2- 3- 5+  3 -3  4 -1  0
Curve Equation t Generators 37350bn1 [1,-1,1,745,-236753] 1 [59:70:1]
37350bo (1 curve)	1	2- 3- 5+ 83+	2- 3- 5+  3  5 -2 -3 -6
Curve Equation t Generators 37350bo1 [1,-1,1,-2516630,-1554151003] 1 [4609:288795:1]
37350bp (2 curves)	0	2- 3- 5+ 83-	2- 3- 5+ -2 -4  6 -2  8
Curve Equation t 37350bp1 [1,-1,1,-12380,-537253] 2 37350bp2 [1,-1,1,-199130,-34152253] 2
37350bq (2 curves)	0	2- 3- 5+ 83-	2- 3- 5+  4  2 -6  4  2
Curve Equation t 37350bq1 [1,-1,1,-69689255,223848673247] 2 37350bq2 [1,-1,1,-81209255,144844513247] 2
37350br (2 curves)	0	2- 3- 5+ 83-	2- 3- 5+  4  4  4 -6  0
Curve Equation t 37350br1 [1,-1,1,-790880,-264800253] 2 37350br2 [1,-1,1,109120,-833600253] 2
37350bs (1 curve)	0	2- 3- 5+ 83-	2- 3- 5+  5  5  4 -1 -6
Curve Equation t 37350bs1 [1,-1,1,-104180,-14736553] 1
37350bt (1 curve)	0	2- 3- 5- 83+	2- 3- 5-  0  4  2  3  6
Curve Equation t 37350bt1 [1,-1,1,-495680,134446947] 1
37350bu (2 curves)	0	2- 3- 5- 83+	2- 3- 5-  0 -6  2 -2 -4
Curve Equation t 37350bu1 [1,-1,1,-31866305,-69271984303] 2 37350bu2 [1,-1,1,-509946305,-4432230064303] 2
37350bv (1 curve)	0	2- 3- 5- 83+	2- 3- 5-  3  1 -4 -3  6
Curve Equation t 37350bv1 [1,-1,1,11695,-636303] 1
37350bw (2 curves)	1	2- 3- 5- 83-	2- 3- 5- -1 -3 -4  3 -4
Curve Equation t Generators 37350bw1 [1,-1,1,-118805,-15826003] 1 [1545:58276:1] 37350bw2 [1,-1,1,336820,-84607153] 3 [789:-26315:1]
37350bx (2 curves)	1	2- 3- 5- 83-	2- 3- 5-  2  0 -2  0 -2
Curve Equation t Generators 37350bx1 [1,-1,1,1195,-29303] 2 [976528:-15686515:4096] 37350bx2 [1,-1,1,-10055,-321803] 2 [7670:232213:8]
37350by (1 curve)	1	2- 3- 5- 83-	2- 3- 5-  3 -1 -2 -2 -2
Curve Equation t Generators 37350by1 [1,-1,1,-16805,-834803] 1 [569:12890:1]
37350bz (1 curve)	1	2- 3- 5- 83-	2- 3- 5-  3 -3  0  3 -8
Curve Equation t Generators 37350bz1 [1,-1,1,-2930,147197] 1 [45:301:1]
37350ca (1 curve)	1	2- 3- 5- 83-	2- 3- 5- -3  5 -2 -5 -2
Curve Equation t Generators 37350ca1 [1,-1,1,158695,118680697] 1 [-281:7340:1]

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