Cremona's table of elliptic curves

33418 = 2 · 7² · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
33418a (1 curve)	1	2+ 7+ 11+ 31+	2+  0 -1 7+ 11+  5  5  3
Curve Equation t Generators 33418a1 [1,-1,0,1265,528429] 1 [102:1257:1]
33418b (2 curves)	0	2+ 7+ 11+ 31-	2+  1  0 7+ 11+ -1 -6  2
Curve Equation t 33418b1 [1,0,1,48682454,-265211572580] 3 33418b2 [1,0,1,-2148254841,-38403552534756] 1
33418c (1 curve)	2	2+ 7+ 11+ 31-	2+ -1 -2 7+ 11+ -5  2  4
Curve Equation t Generators 33418c1 [1,1,0,-39666,2979334] 1 [-225:872:1]&[69:725:1]
33418d (1 curve)	0	2+ 7+ 11- 31+	2+  1  4 7+ 11-  3  0  0
Curve Equation t 33418d1 [1,0,1,-65049,-4930236] 1
33418e (1 curve)	1	2+ 7+ 11- 31-	2+  0  3 7+ 11- -1  3 -5
Curve Equation t Generators 33418e1 [1,-1,0,9497,-19587] 1 [5430:83301:125]
33418f (1 curve)	1	2+ 7+ 11- 31-	2+ -1 -4 7+ 11-  5  6 -2
Curve Equation t Generators 33418f1 [1,1,0,-1887,58885] 1 [21:-181:1]
33418g (2 curves)	1	2+ 7+ 11- 31-	2+ -2  0 7+ 11- -4  6  2
Curve Equation t Generators 33418g1 [1,0,1,219,536] 3 [-2:10:1] 33418g2 [1,0,1,-2476,-56598] 1 [60:78:1]
33418h (1 curve)	0	2+ 7- 11+ 31+	2+  1  2 7- 11+  5 -2 -4
Curve Equation t 33418h1 [1,0,1,-810,-8802] 1
33418i (2 curves)	0	2+ 7- 11+ 31+	2+ -1  0 7- 11+  1  6 -2
Curve Equation t 33418i1 [1,1,0,993520,773637376] 1 33418i2 [1,1,0,-43841935,111944920613] 1
33418j (1 curve)	0	2+ 7- 11+ 31+	2+ -1  2 7- 11+  6  0 -1
Curve Equation t 33418j1 [1,1,0,-186274,30986852] 1
33418k (2 curves)	0	2+ 7- 11+ 31+	2+ -2  4 7- 11+  0 -2 -6
Curve Equation t 33418k1 [1,0,1,-8944,-1350786] 2 33418k2 [1,0,1,-246104,-46885506] 2
33418l (1 curve)	1	2+ 7- 11+ 31-	2+  0  1 7- 11+ -5 -5 -3
Curve Equation t Generators 33418l1 [1,-1,0,26,-1548] 1 [52:346:1]
33418m (1 curve)	1	2+ 7- 11- 31+	2+  0 -3 7- 11-  1 -3  5
Curve Equation t Generators 33418m1 [1,-1,0,465344,5787648] 1 [1066624:1101049024:1]
33418n (1 curve)	1	2+ 7- 11- 31+	2+  1  4 7- 11- -5 -6  2
Curve Equation t Generators 33418n1 [1,0,1,-92489,-20474996] 1 [173351193255710:-16033482192041539:20458415375]
33418o (4 curves)	1	2+ 7- 11- 31+	2+  2  0 7- 11-  4  6 -2
Curve Equation t Generators 33418o1 [1,1,0,-3703407040,-86774309941248] 2 [46966123070527721088:-17450321894411203339072:287143308322317] 33418o2 [1,1,0,-59259560000,-5552488639221376] 2 [-462082482192900156806086308261221631453944:230730097595122265151984531737380735143895:3287728614733319875522694956949320192] 33418o3 [1,1,0,2197281985,-327676276977979] 2 [21015082952932606762077721878331969399663234030938913651558254:-8368584532892273559576284842584056069766614809077352540611019703:133478732419056101953655011218850484667338644220872236897] 33418o4 [1,1,0,-59972789055,-5411981988671803] 2 [-63025034455192217812936763278716046526492074070256066462417243396929289457254822414397681414888312433314966616:-733913608213330855863692285857792874401703621807449458474198653348515121106890730923633398293626851729955344541:383331576677483523639671980540975038519840118337775414781856231157358964364790426821907649640393021364736]
33418p (2 curves)	1	2+ 7- 11- 31+	2+  2  0 7- 11-  4 -6 -2
Curve Equation t Generators 33418p1 [1,1,0,10755,-173179] 1 [3639:50447:27] 33418p2 [1,1,0,-121300,19291728] 1 [14306689158:111212678365:64964808]
33418q (2 curves)	1	2+ 7- 11- 31+	2+ -2  2 7- 11- -6 -4  0
Curve Equation t Generators 33418q1 [1,0,1,-54710,-6118584] 2 [1502:56701:1] 33418q2 [1,0,1,-932790,-346813624] 2 [-556:400:1]
33418r (1 curve)	1	2+ 7- 11- 31+	2+ -3  0 7- 11-  4  6 -7
Curve Equation t Generators 33418r1 [1,-1,0,-352,3100] 1 [2:48:1]
33418s (1 curve)	2	2+ 7- 11- 31-	2+ -1 -4 7- 11- -3  0  0
Curve Equation t Generators 33418s1 [1,1,0,-1327,13805] 1 [-35:155:1]&[-13:177:1]
33418t (2 curves)	0	2+ 7- 11- 31-	2+  2  0 7- 11- -4 -2 -2
Curve Equation t 33418t1 [1,1,0,-56375,-7372651] 2 33418t2 [1,1,0,-1005015,-388156747] 2
33418u (1 curve)	0	2- 7+ 11+ 31+	2-  1  0 7+ 11+ -5 -4 -8
Curve Equation t 33418u1 [1,0,0,74822,3540676] 1
33418v (1 curve)	1	2- 7+ 11+ 31-	2- -1  2 7+ 11+ -3  2  0
Curve Equation t Generators 33418v1 [1,1,1,-3137,172479] 1 [69:-574:1]
33418w (1 curve)	1	2- 7+ 11- 31+	2- -1  2 7+ 11-  1 -4  2
Curve Equation t Generators 33418w1 [1,1,1,-1683837,-841704557] 1 [-749:396:1]
33418x (1 curve)	1	2- 7+ 11- 31+	2- -1 -2 7+ 11-  3  0 -2
Curve Equation t Generators 33418x1 [1,1,1,-2794,56055] 1 [-15:-301:1]
33418y (1 curve)	1	2- 7+ 11- 31+	2- -1 -4 7+ 11-  1  4  4
Curve Equation t Generators 33418y1 [1,1,1,442420,195063021] 1 [-323:4473:1]
33418z (1 curve)	1	2- 7+ 11- 31+	2-  2  2 7+ 11- -2 -2 -8
Curve Equation t Generators 33418z1 [1,1,1,-22002,-1265377] 1 [5097:28847:27]
33418ba (1 curve)	1	2- 7+ 11- 31+	2-  2  2 7+ 11- -2 -7  2
Curve Equation t Generators 33418ba1 [1,1,1,-4940377,4225283719] 1 [1219:3416:1]
33418bb (1 curve)	1	2- 7+ 11- 31+	2- -2 -2 7+ 11-  6 -3  6
Curve Equation t Generators 33418bb1 [1,0,0,-99,-407] 1 [12:7:1]
33418bc (1 curve)	2	2- 7+ 11- 31-	2- -1 -2 7+ 11- -3 -8 -6
Curve Equation t Generators 33418bc1 [1,1,1,-589,195] 1 [41:196:1]&[-21:72:1]
33418bd (1 curve)	1	2- 7- 11+ 31+	2-  1 -2 7- 11+  3 -2  0
Curve Equation t Generators 33418bd1 [1,0,0,-64,-512] 1 [12:16:1]
33418be (3 curves)	1	2- 7- 11+ 31+	2-  2  0 7- 11+  4  3 -2
Curve Equation t Generators 33418be1 [1,1,1,-1618,-26657] 1 [169:2051:1] 33418be2 [1,1,1,8182,-68993] 1 [1918729:26710971:12167] 33418be3 [1,1,1,-98148,13371119] 1 [342526212339117383886:-2821979527540604906519:1465175113630967656]
33418bf (1 curve)	0	2- 7- 11+ 31-	2- -1  0 7- 11+  5  4  8
Curve Equation t 33418bf1 [1,1,1,3666277,-1210785591] 1
33418bg (1 curve)	0	2- 7- 11+ 31-	2- -1  3 7- 11+ -4 -2  2
Curve Equation t 33418bg1 [1,1,1,13376,1973127393] 1
33418bh (2 curves)	0	2- 7- 11- 31+	2-  1 -1 7- 11-  6  2  0
Curve Equation t 33418bh1 [1,0,0,-12234811,-16472948591] 1 33418bh2 [1,0,0,29240749,-87294806551] 1
33418bi (1 curve)	0	2- 7- 11- 31+	2-  1  2 7- 11-  3  8  6
Curve Equation t 33418bi1 [1,0,0,-28862,-153532] 1
33418bj (2 curves)	0	2- 7- 11- 31+	2-  1  4 7- 11- -4  2  5
Curve Equation t 33418bj1 [1,0,0,-25236,-1996912] 1 33418bj2 [1,0,0,-183016,189897868] 1
33418bk (1 curve)	0	2- 7- 11- 31+	2-  3  3 7- 11-  2  6 -4
Curve Equation t 33418bk1 [1,-1,1,-2631,-117281] 1
33418bl (1 curve)	1	2- 7- 11- 31-	2-  0  2 7- 11-  4 -3  2
Curve Equation t Generators 33418bl1 [1,-1,1,17606,2250105] 1 [-15:1415:1]
33418bm (1 curve)	1	2- 7- 11- 31-	2-  1  2 7- 11- -3  0  2
Curve Equation t Generators 33418bm1 [1,0,0,-136907,-19637647] 1 [806:19441:1]
33418bn (1 curve)	1	2- 7- 11- 31-	2-  1 -2 7- 11- -1  4 -2
Curve Equation t Generators 33418bn1 [1,0,0,-34364,2449040] 1 [176:1276:1]
33418bo (1 curve)	1	2- 7- 11- 31-	2-  1 -2 7- 11-  2  4 -5
Curve Equation t Generators 33418bo1 [1,0,0,4801,-60775] 1 [158:2077:1]
33418bp (1 curve)	1	2- 7- 11- 31-	2-  1  4 7- 11- -1 -4 -4
Curve Equation t Generators 33418bp1 [1,0,0,9029,-567407] 1 [222:3409:1]
33418bq (1 curve)	1	2- 7- 11- 31-	2- -1 -1 7- 11-  0  6  6
Curve Equation t Generators 33418bq1 [1,1,1,55614,-1670705] 1 [97:2107:1]
33418br (1 curve)	1	2- 7- 11- 31-	2-  2  2 7- 11- -6  3 -6
Curve Equation t Generators 33418br1 [1,1,1,-4852,134749] 1 [302:523:8]
33418bs (1 curve)	1	2- 7- 11- 31-	2- -2 -2 7- 11-  2  2  8
Curve Equation t Generators 33418bs1 [1,0,0,-449,3625] 1 [12:-7:1]
33418bt (1 curve)	1	2- 7- 11- 31-	2- -2 -2 7- 11-  2  7 -2
Curve Equation t Generators 33418bt1 [1,0,0,-242078474,-1449998551100] 1 [43912:8498270:1]

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