Cremona's table of elliptic curves

60270 = 2 · 3 · 5 · 7² · 41

Class	r	Atkin-Lehner	Eigenvalues
60270a (2 curves)	0	2+ 3+ 5+ 7- 41+	2+ 3+ 5+ 7- -2  2  2 -8
Curve Equation t 60270a1 [1,1,0,-5023,-1067723] 2 60270a2 [1,1,0,-190243,-31851287] 2
60270b (2 curves)	1	2+ 3+ 5+ 7- 41-	2+ 3+ 5+ 7-  0 -2  0  4
Curve Equation t Generators 60270b1 [1,1,0,-254920173,1556230971933] 2 [78036933195641134:-836966547566327959:7747112476403] 60270b2 [1,1,0,-90342893,3538366816797] 2 [460626652786:133583659273607:74618461]
60270c (2 curves)	1	2+ 3+ 5+ 7- 41-	2+ 3+ 5+ 7-  0  4  6  4
Curve Equation t Generators 60270c1 [1,1,0,-2573,15177] 2 [-43:242:1] 60270c2 [1,1,0,9677,130327] 2 [7:442:1]
60270d (2 curves)	1	2+ 3+ 5- 7- 41+	2+ 3+ 5- 7- -2  2  2 -8
Curve Equation t Generators 60270d1 [1,1,0,-1257,1989] 2 [-22:151:1] 60270d2 [1,1,0,-12737,-555939] 2 [-63:69:1]
60270e (2 curves)	1	2+ 3+ 5- 7- 41+	2+ 3+ 5- 7- -4  2  4 -4
Curve Equation t Generators 60270e1 [1,1,0,-531822,39972276] 2 [-42490:7926619:1000] 60270e2 [1,1,0,2039698,316153524] 2 [17548:2323626:1]
60270f (4 curves)	1	2+ 3+ 5- 7- 41+	2+ 3+ 5- 7- -4 -2  6  0
Curve Equation t Generators 60270f1 [1,1,0,-417,-26571] 2 [610:14767:1] 60270f2 [1,1,0,-16097,-788619] 4 [-70:71:1] 60270f3 [1,1,0,-25897,271741] 2 [175:979:1] 60270f4 [1,1,0,-257177,-50306451] 2 [2463:118206:1]
60270g (2 curves)	0	2+ 3+ 5- 7- 41-	2+ 3+ 5- 7-  6  4  0 -5
Curve Equation t 60270g1 [1,1,0,5953,-5057499] 1 60270g2 [1,1,0,-53582,136742964] 1
60270h (2 curves)	0	2+ 3+ 5- 7- 41-	2+ 3+ 5- 7- -6 -4  0  6
Curve Equation t 60270h1 [1,1,0,-164812,-25816496] 2 60270h2 [1,1,0,-145212,-32162976] 2
60270i (2 curves)	1	2+ 3- 5+ 7- 41+	2+ 3- 5+ 7-  2  2  4 -2
Curve Equation t Generators 60270i1 [1,0,1,-7474,72272] 2 [-44:584:1] 60270i2 [1,0,1,-68724,-6885728] 2 [-142:192:1]
60270j (4 curves)	1	2+ 3- 5+ 7- 41+	2+ 3- 5+ 7- -4  2 -2  4
Curve Equation t Generators 60270j1 [1,0,1,-6453914,-5802045364] 2 [-1554916585745354:-16523490305254143:1316893133681] 60270j2 [1,0,1,-22510234,34544275532] 4 [6720556895:671670077707:571787] 60270j3 [1,0,1,42028646,196201262156] 2 [8628358448150556:-1104930782720283107:825029746939] 60270j4 [1,0,1,-343950234,2455116051532] 2 [46925:9444513:1]
60270k (2 curves)	0	2+ 3- 5+ 7- 41-	2+ 3- 5+ 7- -2 -2 -2  8
Curve Equation t 60270k1 [1,0,1,-61619,-867058] 2 60270k2 [1,0,1,-624139,188814686] 2
60270l (1 curve)	2	2+ 3- 5+ 7- 41-	2+ 3- 5+ 7- -3 -4  4 -7
Curve Equation t Generators 60270l1 [1,0,1,-30994,3259526] 1 [88:1058:1]&[-1546:12199:8]
60270m (2 curves)	1	2+ 3- 5- 7- 41-	2+ 3- 5- 7- -2 -2 -2  8
Curve Equation t Generators 60270m1 [1,0,1,-103,3098] 2 [4:-55:1] 60270m2 [1,0,1,-3883,92306] 2 [25:-118:1]
60270n (4 curves)	1	2+ 3- 5- 7- 41-	2+ 3- 5- 7-  4  2 -6  0
Curve Equation t Generators 60270n1 [1,0,1,38047,-419884] 2 [27:778:1] 60270n2 [1,0,1,-154033,-3416332] 4 [-353:2822:1] 60270n3 [1,0,1,-1560333,746422828] 4 [782:1755:1] 60270n4 [1,0,1,-1821013,-944259844] 2 [1705:29282:1]
60270o (4 curves)	1	2+ 3- 5- 7- 41-	2+ 3- 5- 7- -4  2 -6  0
Curve Equation t Generators 60270o1 [1,0,1,-2063318,1130221208] 2 [-1116:45760:1] 60270o2 [1,0,1,-3710698,-929662744] 4 [-1280:42152:1] 60270o3 [1,0,1,13868052,-7201760744] 2 [2150:179352:1] 60270o4 [1,0,1,-47647528,-126483548152] 2 [-3926:10400:1]
60270p (1 curve)	1	2+ 3- 5- 7- 41-	2+ 3- 5- 7-  5 -4  0 -3
Curve Equation t Generators 60270p1 [1,0,1,46867,3846056] 1 [-10:1842:1]
60270q (4 curves)	1	2- 3+ 5+ 7- 41+	2- 3+ 5+ 7-  0  6  2  0
Curve Equation t Generators 60270q1 [1,1,1,-1599606,-768800397] 2 [-671:2063:1] 60270q2 [1,1,1,-3167606,983596403] 4 [-1639:42959:1] 60270q3 [1,1,1,11120794,7419091763] 2 [-181:73577:1] 60270q4 [1,1,1,-42544006,106732856243] 2 [310761473:901615659:79507]
60270r (4 curves)	1	2- 3+ 5+ 7- 41+	2- 3+ 5+ 7- -4 -6 -6 -4
Curve Equation t Generators 60270r1 [1,1,1,-4656,-122991] 2 [-39:53:1] 60270r2 [1,1,1,-8576,109073] 4 [-69:649:1] 60270r3 [1,1,1,31604,880529] 2 [29:1335:1] 60270r4 [1,1,1,-111476,14268113] 2 [209:287:1]
60270s (1 curve)	2	2- 3+ 5+ 7- 41-	2- 3+ 5+ 7- -1 -4 -8 -1
Curve Equation t Generators 60270s1 [1,1,1,-95551,11383973] 1 [-281:-3878:1]&[181:154:1]
60270t (2 curves)	0	2- 3+ 5+ 7- 41-	2- 3+ 5+ 7- -2  0 -4  1
Curve Equation t 60270t1 [1,1,1,112944,5592369] 1 60270t2 [1,1,1,-58900206,173965080729] 1
60270u (4 curves)	0	2- 3+ 5+ 7- 41-	2- 3+ 5+ 7-  4  6  2  4
Curve Equation t 60270u1 [1,1,1,-7228726,-9113461981] 2 60270u2 [1,1,1,-122524746,-522042395757] 4 60270u3 [1,1,1,-129415616,-460046616541] 2 60270u4 [1,1,1,-1960370196,-33409184016237] 2
60270v (1 curve)	1	2- 3+ 5- 7+ 41+	2- 3+ 5- 7+  2 -3  0  4
Curve Equation t Generators 60270v1 [1,1,1,-12055,-518323] 1 [167:1386:1]
60270w (1 curve)	0	2- 3+ 5- 7- 41+	2- 3+ 5- 7-  2  4  0 -3
Curve Equation t 60270w1 [1,1,1,-1030,12347] 1
60270x (2 curves)	0	2- 3+ 5- 7- 41+	2- 3+ 5- 7-  2 -6  0  2
Curve Equation t 60270x1 [1,1,1,-2582595,-1535084643] 2 60270x2 [1,1,1,-40863845,-100561022143] 2
60270y (1 curve)	0	2- 3+ 5- 7- 41+	2- 3+ 5- 7- -3  2  6  5
Curve Equation t 60270y1 [1,1,1,18365885,215457860897] 1
60270z (2 curves)	0	2- 3+ 5- 7- 41+	2- 3+ 5- 7- -3  4  0  7
Curve Equation t 60270z1 [1,1,1,6472115,-20156577085] 1 60270z2 [1,1,1,-59101645,590436960707] 1
60270ba (2 curves)	0	2- 3+ 5- 7- 41+	2- 3+ 5- 7-  6  6  2  4
Curve Equation t 60270ba1 [1,1,1,133720,-9561175] 2 60270ba2 [1,1,1,-607160,-81871063] 2
60270bb (2 curves)	1	2- 3+ 5- 7- 41-	2- 3+ 5- 7- -2 -6 -6 -4
Curve Equation t Generators 60270bb1 [1,1,1,-34945,2495807] 2 [97:126:1] 60270bb2 [1,1,1,-46425,700335] 2 [-67:-1842:1]
60270bc (1 curve)	1	2- 3+ 5- 7- 41-	2- 3+ 5- 7- -5  6  6  5
Curve Equation t Generators 60270bc1 [1,1,1,-27490,-3883153] 1 [265:2611:1]
60270bd (4 curves)	1	2- 3+ 5- 7- 41-	2- 3+ 5- 7- -6  4  0 -2
Curve Equation t Generators 60270bd1 [1,1,1,-25285,-1260085] 2 [335:-5460:1] 60270bd2 [1,1,1,53115,-7438005] 2 [295:-5980:1] 60270bd3 [1,1,1,-625045,189830507] 2 [437:396:1] 60270bd4 [1,1,1,-502545,266613507] 2 [-393:20286:1]
60270be (1 curve)	1	2- 3+ 5- 7- 41-	2- 3+ 5- 7- -6  5 -8  4
Curve Equation t Generators 60270be1 [1,1,1,-1660,585437] 1 [77:921:1]
60270bf (1 curve)	1	2- 3- 5+ 7+ 41+	2- 3- 5+ 7+ -6 -5  8 -4
Curve Equation t Generators 60270bf1 [1,0,0,-81341,-201048975] 1 [1378:-48689:1]
60270bg (4 curves)	0	2- 3- 5+ 7- 41+	2- 3- 5+ 7-  0  6  2  0
Curve Equation t 60270bg1 [1,0,0,-24991,-1236775] 2 60270bg2 [1,0,0,-122991,15482025] 4 60270bg3 [1,0,0,117109,68640165] 2 60270bg4 [1,0,0,-1931091,1032719085] 2
60270bh (1 curve)	0	2- 3- 5+ 7- 41+	2- 3- 5+ 7- -2 -4  4 -5
Curve Equation t 60270bh1 [1,0,0,-1,-5209] 1
60270bi (2 curves)	0	2- 3- 5+ 7- 41+	2- 3- 5+ 7- -2  6  6  4
Curve Equation t 60270bi1 [1,0,0,-1712306,-861198780] 2 60270bi2 [1,0,0,-2274826,-247039444] 2
60270bj (8 curves)	0	2- 3- 5+ 7- 41+	2- 3- 5+ 7-  4  2 -2  4
Curve Equation t 60270bj1 [1,0,0,-239611,-45119215] 2 60270bj2 [1,0,0,-302331,-19667439] 4 60270bj3 [1,0,0,1144149,-153032895] 2 60270bj4 [1,0,0,-2752331,1742862561] 4 60270bj5 [1,0,0,-767831,4204833261] 2 60270bj6 [1,0,0,-43936831,112092611861] 4 60270bj7 [1,0,0,-43836381,112630682331] 2 60270bj8 [1,0,0,-702989281,7174103234591] 2
60270bk (4 curves)	0	2- 3- 5+ 7- 41+	2- 3- 5+ 7- -4 -6  2 -4
Curve Equation t 60270bk1 [1,0,0,-441981,110750961] 2 60270bk2 [1,0,0,-7031501,7176034305] 4 60270bk3 [1,0,0,-6991321,7262107901] 2 60270bk4 [1,0,0,-112504001,459294452805] 2
60270bl (1 curve)	2	2- 3- 5+ 7- 41+	2- 3- 5+ 7- -5 -6 -6 -5
Curve Equation t Generators 60270bl1 [1,0,0,-561,11241] 1 [18:75:1]&[-24:117:1]
60270bm (1 curve)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7-  2  3  0 -4
Curve Equation t Generators 60270bm1 [1,0,0,-246,1476] 1 [6:12:1]
60270bn (1 curve)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7- -3 -2 -6 -5
Curve Equation t Generators 60270bn1 [1,0,0,374814,-628103484] 1 [1056:30222:1]
60270bo (2 curves)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7- -4 -6  0  8
Curve Equation t Generators 60270bo1 [1,0,0,-75461,-7949775] 2 [-164:229:1] 60270bo2 [1,0,0,-35281,-16379539] 2 [410:5969:1]
60270bp (2 curves)	1	2- 3- 5+ 7- 41-	2- 3- 5+ 7-  6 -6 -2 -4
Curve Equation t Generators 60270bp1 [1,0,0,2729,28265] 2 [8:221:1] 60270bp2 [1,0,0,-12391,236921] 2 [-52:887:1]
60270bq (4 curves)	1	2- 3- 5- 7- 41+	2- 3- 5- 7-  0  2 -2 -4
Curve Equation t Generators 60270bq1 [1,0,0,49195,-891423] 2 [214:4303:1] 60270bq2 [1,0,0,-201685,-7263775] 4 [-220:5255:1] 60270bq3 [1,0,0,-1965685,1054311425] 2 [1280:-25855:1] 60270bq4 [1,0,0,-2451765,-1475665983] 2 [-906:1923:1]
60270br (1 curve)	1	2- 3- 5- 7- 41+	2- 3- 5- 7- -1  0 -4  5
Curve Equation t Generators 60270br1 [1,0,0,-1688100,844110000] 1 [-150:33150:1]
60270bs (2 curves)	1	2- 3- 5- 7- 41+	2- 3- 5- 7- -2 -2 -4  6
Curve Equation t Generators 60270bs1 [1,0,0,-2990,-37500] 2 [-38:166:1] 60270bs2 [1,0,0,-42190,-3338140] 2 [-118:86:1]
60270bt (1 curve)	0	2- 3- 5- 7- 41-	2- 3- 5- 7- -3  0  0  1
Curve Equation t 60270bt1 [1,0,0,-295,335537] 1
60270bu (2 curves)	0	2- 3- 5- 7- 41-	2- 3- 5- 7- -6  0  8  6
Curve Equation t 60270bu1 [1,0,0,-2170711810,38926839237572] 2 60270bu2 [1,0,0,-2158461810,39387902287572] 2

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