Cremona's table of elliptic curves

64170 = 2 · 3² · 5 · 23 · 31

Class	r	Atkin-Lehner	Eigenvalues
64170a (2 curves)	2	2+ 3+ 5+ 23- 31+	2+ 3+ 5+  0 -2  2 -6 -8
Curve Equation t Generators 64170a1 [1,-1,0,930,-18784] 2 [47:-380:1]&[185:2449:1] 64170a2 [1,-1,0,-7440,-201250] 2 [-65:100:1]&[-434:1827:8]
64170b (2 curves)	2	2+ 3+ 5+ 23- 31+	2+ 3+ 5+  0 -4 -2  2 -6
Curve Equation t Generators 64170b1 [1,-1,0,-255,1485] 2 [-82:475:8]&[6:9:1] 64170b2 [1,-1,0,-3975,97461] 2 [37:-22:1]&[110:1647:8]
64170c (2 curves)	1	2+ 3+ 5+ 23- 31-	2+ 3+ 5+  2  0  6 -6  0
Curve Equation t Generators 64170c1 [1,-1,0,1875,29141] 2 [50:471:1] 64170c2 [1,-1,0,-10545,280025] 2 [-10:625:1]
64170d (2 curves)	1	2+ 3+ 5- 23- 31+	2+ 3+ 5-  0  0 -6  2  6
Curve Equation t Generators 64170d1 [1,-1,0,-4554,119360] 2 [46:-98:1] 64170d2 [1,-1,0,-5484,67838] 2 [7:169:1]
64170e (6 curves)	0	2+ 3- 5+ 23+ 31+	2+ 3- 5+  0  4 -2  6 -4
Curve Equation t 64170e1 [1,-1,0,-46170,-3806924] 2 64170e2 [1,-1,0,-46890,-3681500] 4 64170e3 [1,-1,0,36810,-15449720] 2 64170e4 [1,-1,0,-142110,16105216] 4 64170e5 [1,-1,0,323640,99288166] 2 64170e6 [1,-1,0,-2131380,1198129450] 2
64170f (2 curves)	0	2+ 3- 5+ 23+ 31+	2+ 3- 5+  2 -2  2  0  8
Curve Equation t 64170f1 [1,-1,0,-17190,-881600] 2 64170f2 [1,-1,0,-276660,-55941134] 2
64170g (2 curves)	1	2+ 3- 5+ 23+ 31-	2+ 3- 5+ -2 -2  6  2 -4
Curve Equation t Generators 64170g1 [1,-1,0,-67815,-6995075] 2 [16366:725587:8] 64170g2 [1,-1,0,-1094535,-440476259] 2 [2163510:-86608829:1000]
64170h (1 curve)	1	2+ 3- 5+ 23- 31+	2+ 3- 5+  0  0 -1  6  3
Curve Equation t Generators 64170h1 [1,-1,0,720,256] 1 [0:16:1]
64170i (2 curves)	1	2+ 3- 5+ 23- 31+	2+ 3- 5+  0  2  4  2  0
Curve Equation t Generators 64170i1 [1,-1,0,-11925,-968139] 2 [95601:-5733113:27] 64170i2 [1,-1,0,-236925,-44303139] 2 [-7449:5737:27]
64170j (4 curves)	1	2+ 3- 5+ 23- 31+	2+ 3- 5+  4  0 -2 -6  4
Curve Equation t Generators 64170j1 [1,-1,0,75960,3758400] 2 [315:7515:1] 64170j2 [1,-1,0,-338760,31876416] 4 [-599:4727:1] 64170j3 [1,-1,0,-2822760,-1802805984] 2 [5424433245:-980835933987:166375] 64170j4 [1,-1,0,-4490280,3661135200] 2 [-2345:37110:1]
64170k (4 curves)	1	2+ 3- 5+ 23- 31+	2+ 3- 5+  4  4  2  6 -4
Curve Equation t Generators 64170k1 [1,-1,0,-3191850,-2087530380] 2 [175858708200214013156:-1816746012540354581106:83913193159833401] 64170k2 [1,-1,0,-50377770,-137614929804] 4 [90355896852:1735444503798:10793861] 64170k3 [1,-1,0,-49686570,-141575091084] 2 [52265460:7628564982:2197] 64170k4 [1,-1,0,-806043690,-8807974562700] 2 [12524351684571441:-11693770523565763140:14366628991]
64170l (4 curves)	0	2+ 3- 5+ 23- 31-	2+ 3- 5+  4  4  2 -2  4
Curve Equation t 64170l1 [1,-1,0,-736560,-244785920] 2 64170l2 [1,-1,0,-11807280,-15613159424] 4 64170l3 [1,-1,0,-11829600,-15551150000] 2 64170l4 [1,-1,0,-188916480,-999383921744] 2
64170m (4 curves)	0	2+ 3- 5+ 23- 31-	2+ 3- 5+ -4  6  2 -6  2
Curve Equation t 64170m1 [1,-1,0,47295,-3405699] 2 64170m2 [1,-1,0,-254025,-31066875] 2 64170m3 [1,-1,0,-479205,180958401] 6 64170m4 [1,-1,0,-8522775,9577456875] 6
64170n (1 curve)	2	2+ 3- 5- 23+ 31-	2+ 3- 5- -2 -2 -3 -4 -1
Curve Equation t Generators 64170n1 [1,-1,0,-34209,2444413] 1 [242:2759:1]&[262:9193:8]
64170o (2 curves)	2	2+ 3- 5- 23+ 31-	2+ 3- 5- -2 -2 -6 -4 -4
Curve Equation t Generators 64170o1 [1,-1,0,-88299,41677105] 2 [-399:3842:1]&[-349:5642:1] 64170o2 [1,-1,0,-2423529,1448886703] 2 [-1483:42929:1]&[-5114:421057:8]
64170p (2 curves)	0	2+ 3- 5- 23+ 31-	2+ 3- 5- -4  4  4 -4 -6
Curve Equation t 64170p1 [1,-1,0,-142389,-79947] 2 64170p2 [1,-1,0,-1570869,-755174475] 2
64170q (1 curve)	0	2+ 3- 5- 23- 31+	2+ 3- 5-  0  3  0  8  6
Curve Equation t 64170q1 [1,-1,0,2676,-23662] 1
64170r (2 curves)	1	2+ 3- 5- 23- 31-	2+ 3- 5- -2  0  4 -2  4
Curve Equation t Generators 64170r1 [1,-1,0,1116,0] 2 [9:99:1] 64170r2 [1,-1,0,-4464,3348] 2 [-51:336:1]
64170s (2 curves)	0	2- 3+ 5+ 23+ 31+	2- 3+ 5+  0  0 -6 -2  6
Curve Equation t 64170s1 [1,-1,1,-40988,-3181733] 2 64170s2 [1,-1,1,-49358,-1782269] 2
64170t (2 curves)	1	2- 3+ 5- 23+ 31+	2- 3+ 5-  0  2  2  6 -8
Curve Equation t Generators 64170t1 [1,-1,1,103,661] 2 [22:233:8] 64170t2 [1,-1,1,-827,7729] 2 [214:409:8]
64170u (2 curves)	1	2- 3+ 5- 23+ 31+	2- 3+ 5-  0  4 -2 -2 -6
Curve Equation t Generators 64170u1 [1,-1,1,-2297,-37799] 2 [109:944:1] 64170u2 [1,-1,1,-35777,-2595671] 2 [233:1178:1]
64170v (2 curves)	0	2- 3+ 5- 23+ 31-	2- 3+ 5-  2  0  6  6  0
Curve Equation t 64170v1 [1,-1,1,208,-1149] 2 64170v2 [1,-1,1,-1172,-9981] 2
64170w (2 curves)	1	2- 3- 5+ 23+ 31+	2- 3- 5+  2  0  2  4  2
Curve Equation t Generators 64170w1 [1,-1,1,-518,-46443] 2 [53:243:1] 64170w2 [1,-1,1,-22838,-1314219] 2 [-87:135:1]
64170x (2 curves)	0	2- 3- 5+ 23+ 31-	2- 3- 5+ -2 -2 -2  2  4
Curve Equation t 64170x1 [1,-1,1,11542,-251323] 2 64170x2 [1,-1,1,-52628,-2099419] 2
64170y (2 curves)	0	2- 3- 5+ 23+ 31-	2- 3- 5+  4 -2  2  6 -6
Curve Equation t 64170y1 [1,-1,1,702652,833052647] 2 64170y2 [1,-1,1,-10144868,11454944231] 2
64170z (1 curve)	0	2- 3- 5+ 23+ 31-	2- 3- 5+  4  4 -5  2  1
Curve Equation t 64170z1 [1,-1,1,-1229243,527148587] 1
64170ba (1 curve)	0	2- 3- 5+ 23+ 31-	2- 3- 5+  4 -5  4 -4 -2
Curve Equation t 64170ba1 [1,-1,1,-428,-3409] 1
64170bb (1 curve)	0	2- 3- 5+ 23+ 31-	2- 3- 5+ -4  4 -1  2 -7
Curve Equation t 64170bb1 [1,-1,1,-1148,-18669] 1
64170bc (1 curve)	1	2- 3- 5+ 23- 31-	2- 3- 5+  1 -2  4 -3 -4
Curve Equation t Generators 64170bc1 [1,-1,1,464062,-313342383] 1 [512532:45759327:64]
64170bd (4 curves)	1	2- 3- 5+ 23- 31-	2- 3- 5+  2  0  2  0  2
Curve Equation t Generators 64170bd1 [1,-1,1,26242582,151771439657] 2 [-783:361975:1] 64170bd2 [1,-1,1,-316949738,1958061258281] 2 [22281:2429551:1] 64170bd3 [1,-1,1,-1559767793,23737080689057] 6 [-36009:5780884:1] 64170bd4 [1,-1,1,-24963984113,1518171186213281] 6 [56447355:-35895236284:125]
64170be (1 curve)	1	2- 3- 5+ 23- 31-	2- 3- 5+ -5  2  0 -5 -4
Curve Equation t Generators 64170be1 [1,-1,1,2227,55797] 1 [3:248:1]
64170bf (1 curve)	0	2- 3- 5- 23+ 31+	2- 3- 5- -3  2 -4  3  4
Curve Equation t 64170bf1 [1,-1,1,-767,-8009] 1
64170bg (2 curves)	1	2- 3- 5- 23+ 31-	2- 3- 5-  2 -6 -1  0 -7
Curve Equation t Generators 64170bg1 [1,-1,1,103,-3571] 1 [222:1019:8] 64170bg2 [1,-1,1,-932,97031] 3 [-39:289:1]
64170bh (2 curves)	0	2- 3- 5- 23- 31-	2- 3- 5-  0  4 -4  0 -2
Curve Equation t 64170bh1 [1,-1,1,-437,-1731] 2 64170bh2 [1,-1,1,-6017,-178059] 2
64170bi (2 curves)	2	2- 3- 5- 23- 31-	2- 3- 5- -2 -4 -6 -4 -6
Curve Equation t Generators 64170bi1 [1,-1,1,-4982,230789] 2 [37:-329:1]&[-63:571:1] 64170bi2 [1,-1,1,-94262,11158661] 2 [141:739:1]&[-279:4099:1]
64170bj (2 curves)	0	2- 3- 5- 23- 31-	2- 3- 5- -4 -3 -4  0  2
Curve Equation t 64170bj1 [1,-1,1,-18032,-927619] 1 64170bj2 [1,-1,1,5683,-3150691] 3

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