Cremona's table of elliptic curves

18018 = 2 · 3² · 7 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
18018a (2 curves)	0	2+ 3+ 7+ 11- 13+	2+ 3+ -2 7+ 11- 13+  4  8
Curve Equation t 18018a1 [1,-1,0,132,-1520] 2 18018a2 [1,-1,0,-1428,-18056] 2
18018b (2 curves)	1	2+ 3+ 7+ 11- 13-	2+ 3+ -2 7+ 11- 13- -2  0
Curve Equation t Generators 18018b1 [1,-1,0,-873,-9331] 2 [-17:28:1] 18018b2 [1,-1,0,447,-35995] 2 [71:556:1]
18018c (2 curves)	1	2+ 3+ 7- 11- 13+	2+ 3+ -2 7- 11- 13+  2 -8
Curve Equation t Generators 18018c1 [1,-1,0,-122703,16574201] 2 [175:574:1] 18018c2 [1,-1,0,-119733,17412335] 2 [197:1102:1]
18018d (2 curves)	0	2+ 3+ 7- 11- 13-	2+ 3+  2 7- 11- 13-  0  0
Curve Equation t 18018d1 [1,-1,0,-21,-63] 2 18018d2 [1,-1,0,-411,-3105] 2
18018e (2 curves)	0	2+ 3+ 7- 11- 13-	2+ 3+  2 7- 11- 13-  8  0
Curve Equation t 18018e1 [1,-1,0,-36036,28399952] 2 18018e2 [1,-1,0,-1633476,798685520] 2
18018f (2 curves)	1	2+ 3- 7+ 11+ 13-	2+ 3-  2 7+ 11+ 13-  0  4
Curve Equation t Generators 18018f1 [1,-1,0,-351,3289] 2 [5:38:1] 18018f2 [1,-1,0,-6021,181327] 2 [9:353:1]
18018g (2 curves)	1	2+ 3- 7+ 11+ 13-	2+ 3-  2 7+ 11+ 13-  0 -4
Curve Equation t Generators 18018g1 [1,-1,0,-6021,-181035] 2 [93:192:1] 18018g2 [1,-1,0,-96741,-11557323] 2 [6141:477507:1]
18018h (6 curves)	1	2+ 3- 7+ 11+ 13-	2+ 3-  2 7+ 11+ 13-  6 -4
Curve Equation t Generators 18018h1 [1,-1,0,752544,809512704] 2 [15405:3750864:125] 18018h2 [1,-1,0,-9788976,10733299632] 4 [3051:94707:1] 18018h3 [1,-1,0,-35554716,-69764025276] 2 [9343:638406:1] 18018h4 [1,-1,0,-152687556,726226489692] 4 [-4791:1163328:1] 18018h5 [1,-1,0,-2442994146,46476932870214] 2 [43543:4738211:1] 18018h6 [1,-1,0,-148758246,765369490050] 2 [-4725:1169730:1]
18018i (2 curves)	1	2+ 3- 7+ 11- 13+	2+ 3-  4 7+ 11- 13+ -2  0
Curve Equation t Generators 18018i1 [1,-1,0,-8370,115668] 2 [9:198:1] 18018i2 [1,-1,0,-71730,-7297452] 2 [1539:58608:1]
18018j (4 curves)	2	2+ 3- 7+ 11- 13-	2+ 3- -2 7+ 11- 13- -6 -4
Curve Equation t Generators 18018j1 [1,-1,0,882,-12204] 2 [28:170:1]&[39:264:1] 18018j2 [1,-1,0,-5598,-117180] 4 [-59:101:1]&[-48:222:1] 18018j3 [1,-1,0,-82818,-9151920] 2 [-167:101:1]&[-165:105:1] 18018j4 [1,-1,0,-32058,2121336] 4 [-201:744:1]&[-123:2109:1]
18018k (4 curves)	1	2+ 3- 7- 11+ 13+	2+ 3-  2 7- 11+ 13+  2 -4
Curve Equation t Generators 18018k1 [1,-1,0,-296091,45804069] 2 [-330:10533:1] 18018k2 [1,-1,0,-1690011,-808111323] 4 [-794:6117:1] 18018k3 [1,-1,0,-26709291,-53123425803] 2 [-2981:1743:1] 18018k4 [1,-1,0,1026549,-3160108971] 2 [2293:104901:1]
18018l (2 curves)	0	2+ 3- 7- 11+ 13-	2+ 3-  0 7- 11+ 13-  0 -8
Curve Equation t 18018l1 [1,-1,0,249678,75492868] 2 18018l2 [1,-1,0,-1893582,808916440] 2
18018m (2 curves)	0	2+ 3- 7- 11+ 13-	2+ 3-  0 7- 11+ 13-  6  4
Curve Equation t 18018m1 [1,-1,0,-1107,-11723] 2 18018m2 [1,-1,0,-16947,-844907] 2
18018n (2 curves)	0	2+ 3- 7- 11- 13+	2+ 3-  0 7- 11- 13+  2  4
Curve Equation t 18018n1 [1,-1,0,-477,-4667] 2 18018n2 [1,-1,0,-8037,-275315] 2
18018o (2 curves)	0	2+ 3- 7- 11- 13+	2+ 3-  0 7- 11- 13+ -4 -2
Curve Equation t 18018o1 [1,-1,0,-1063377,446525149] 2 18018o2 [1,-1,0,-17283537,27660709597] 2
18018p (2 curves)	1	2+ 3- 7- 11- 13-	2+ 3-  0 7- 11- 13- -2  4
Curve Equation t Generators 18018p1 [1,-1,0,-117,-95] 2 [-1:5:1] 18018p2 [1,-1,0,-1107,14359] 2 [5:92:1]
18018q (2 curves)	1	2+ 3- 7- 11- 13-	2+ 3-  2 7- 11- 13-  0 -6
Curve Equation t Generators 18018q1 [1,-1,0,2169,45117] 2 [-9:162:1] 18018q2 [1,-1,0,-13671,453789] 2 [-105:903:1]
18018r (4 curves)	1	2+ 3- 7- 11- 13-	2+ 3-  2 7- 11- 13- -6 -4
Curve Equation t Generators 18018r1 [1,-1,0,1584,-13136] 2 [20:152:1] 18018r2 [1,-1,0,-7236,-106628] 4 [-51:383:1] 18018r3 [1,-1,0,-97326,-11656166] 2 [-177:131:1] 18018r4 [1,-1,0,-58266,5353582] 2 [-169:3302:1]
18018s (2 curves)	1	2+ 3- 7- 11- 13-	2+ 3- -4 7- 11- 13- -4 -6
Curve Equation t Generators 18018s1 [1,-1,0,156,-676] 2 [13:52:1] 18018s2 [1,-1,0,-834,-5626] 2 [-17:67:1]
18018t (2 curves)	1	2+ 3- 7- 11- 13-	2+ 3- -4 7- 11- 13- -6  8
Curve Equation t Generators 18018t1 [1,-1,0,-21483054,5422073044] 2 [-3667:188597:1] 18018t2 [1,-1,0,-253396494,1549733670004] 2 [-13897:1551992:1]
18018u (2 curves)	0	2- 3+ 7+ 11+ 13+	2- 3+  2 7+ 11+ 13+ -4  8
Curve Equation t 18018u1 [1,-1,1,1186,39853] 2 18018u2 [1,-1,1,-12854,500365] 2
18018v (2 curves)	1	2- 3+ 7+ 11+ 13-	2- 3+  2 7+ 11+ 13-  2  0
Curve Equation t Generators 18018v1 [1,-1,1,-7859,259795] 2 [-65:734:1] 18018v2 [1,-1,1,4021,967843] 2 [-43:866:1]
18018w (2 curves)	1	2- 3+ 7- 11+ 13+	2- 3+  2 7- 11+ 13+ -2 -8
Curve Equation t Generators 18018w1 [1,-1,1,-13634,-609315] 2 [285:4169:1] 18018w2 [1,-1,1,-13304,-640467] 2 [3262:61155:8]
18018x (2 curves)	0	2- 3+ 7- 11+ 13-	2- 3+ -2 7- 11+ 13-  0  0
Curve Equation t 18018x1 [1,-1,1,-191,1891] 2 18018x2 [1,-1,1,-3701,87535] 2
18018y (2 curves)	0	2- 3+ 7- 11+ 13-	2- 3+ -2 7- 11+ 13- -8  0
Curve Equation t 18018y1 [1,-1,1,-324326,-766474379] 2 18018y2 [1,-1,1,-14701286,-21549807755] 2
18018z (4 curves)	1	2- 3- 7+ 11+ 13+	2- 3-  2 7+ 11+ 13+ -2  4
Curve Equation t Generators 18018z1 [1,-1,1,-17924,-1514329] 2 [273:3589:1] 18018z2 [1,-1,1,-335444,-74670937] 4 [861:16129:1] 18018z3 [1,-1,1,-5366624,-4783855417] 2 [390516:27674155:64] 18018z4 [1,-1,1,-384584,-51319609] 2 [869190:16011883:1000]
18018ba (4 curves)	1	2- 3- 7+ 11+ 13+	2- 3- -2 7+ 11+ 13+  2  0
Curve Equation t Generators 18018ba1 [1,-1,1,-51251,4478595] 4 [-31:2472:1] 18018ba2 [1,-1,1,-51431,4445691] 4 [407:6924:1] 18018ba3 [1,-1,1,-99941,-5236905] 2 [3550:47307:8] 18018ba4 [1,-1,1,-5801,12020271] 2 [24020:494343:64]
18018bb (4 curves)	0	2- 3- 7+ 11+ 13-	2- 3-  2 7+ 11+ 13- -6 -4
Curve Equation t 18018bb1 [1,-1,1,-500099,82575875] 4 18018bb2 [1,-1,1,-3449219,-2405301757] 4 18018bb3 [1,-1,1,-54816899,-156200135677] 2 18018bb4 [1,-1,1,732541,-7870025725] 2
18018bc (2 curves)	0	2- 3- 7+ 11+ 13-	2- 3-  4 7+ 11+ 13-  6  4
Curve Equation t 18018bc1 [1,-1,1,3397,3399] 2 18018bc2 [1,-1,1,-13613,37419] 2
18018bd (2 curves)	0	2- 3- 7+ 11- 13+	2- 3-  0 7+ 11- 13+  4  0
Curve Equation t 18018bd1 [1,-1,1,-81905,10756113] 2 18018bd2 [1,-1,1,-1378445,623241609] 2
18018be (2 curves)	0	2- 3- 7+ 11- 13+	2- 3-  0 7+ 11- 13+ -6  0
Curve Equation t 18018be1 [1,-1,1,-20324075,-18405638085] 2 18018be2 [1,-1,1,-279846635,-1801118007237] 2
18018bf (2 curves)	0	2- 3- 7+ 11- 13+	2- 3-  2 7+ 11- 13+  4 -2
Curve Equation t 18018bf1 [1,-1,1,9571,992513] 2 18018bf2 [1,-1,1,-110219,12636101] 2
18018bg (2 curves)	0	2- 3- 7+ 11- 13+	2- 3-  4 7+ 11- 13+ -2 -4
Curve Equation t 18018bg1 [1,-1,1,-22838,1333509] 2 18018bg2 [1,-1,1,-26798,842469] 2
18018bh (2 curves)	1	2- 3- 7+ 11- 13-	2- 3-  0 7+ 11- 13-  0  2
Curve Equation t Generators 18018bh1 [1,-1,1,940,45623] 2 [9:229:1] 18018bh2 [1,-1,1,-14900,653879] 2 [-33:1069:1]
18018bi (2 curves)	1	2- 3- 7+ 11- 13-	2- 3- -2 7+ 11- 13-  4  0
Curve Equation t Generators 18018bi1 [1,-1,1,-6221,749557] 2 [-65:968:1] 18018bi2 [1,-1,1,-167501,26360821] 2 [191:1048:1]
18018bj (4 curves)	0	2- 3- 7- 11+ 13+	2- 3-  2 7- 11+ 13+  2  0
Curve Equation t 18018bj1 [1,-1,1,-207464,36396843] 2 18018bj2 [1,-1,1,-253544,19070763] 4 18018bj3 [1,-1,1,-2170184,-1216778709] 2 18018bj4 [1,-1,1,925816,145498155] 2
18018bk (4 curves)	0	2- 3- 7- 11+ 13+	2- 3-  2 7- 11+ 13+ -2  4
Curve Equation t 18018bk1 [1,-1,1,16726,-12592407] 2 18018bk2 [1,-1,1,-720554,-227878167] 4 18018bk3 [1,-1,1,-11428394,-14867637015] 2 18018bk4 [1,-1,1,-1809194,624744681] 2
18018bl (4 curves)	0	2- 3- 7- 11+ 13+	2- 3- -2 7- 11+ 13+ -2 -4
Curve Equation t 18018bl1 [1,-1,1,-501881,-136725735] 2 18018bl2 [1,-1,1,-504761,-135074919] 4 18018bl3 [1,-1,1,-1117121,257080425] 2 18018bl4 [1,-1,1,61519,-421612599] 2
18018bm (4 curves)	1	2- 3- 7- 11+ 13-	2- 3-  0 7- 11+ 13-  6 -4
Curve Equation t Generators 18018bm1 [1,-1,1,2110,-53251] 2 [318:2267:8] 18018bm2 [1,-1,1,-14900,-543139] 2 [221190:2524483:1000] 18018bm3 [1,-1,1,-20165,1999613] 6 [-51:1726:1] 18018bm4 [1,-1,1,-390605,94016909] 6 [-539:12424:1]
18018bn (4 curves)	1	2- 3- 7- 11+ 13-	2- 3-  0 7- 11+ 13- -6 -4
Curve Equation t Generators 18018bn1 [1,-1,1,-32405,-2129875] 2 [-93:316:1] 18018bn2 [1,-1,1,-511565,-140702947] 2 [1293:36208:1] 18018bn3 [1,-1,1,-440780,112208591] 6 [-651:11413:1] 18018bn4 [1,-1,1,-694220,-31339825] 6 [-699:10933:1]
18018bo (4 curves)	1	2- 3- 7- 11+ 13-	2- 3- -2 7- 11+ 13- -2 -4
Curve Equation t Generators 18018bo1 [1,-1,1,-236,-1169] 2 [-7:13:1] 18018bo2 [1,-1,1,-956,10351] 4 [-13:149:1] 18018bo3 [1,-1,1,-14816,697807] 2 [73:-1:1] 18018bo4 [1,-1,1,1384,51535] 2 [5:239:1]
18018bp (2 curves)	1	2- 3- 7- 11- 13+	2- 3- -2 7- 11- 13+  4 -2
Curve Equation t Generators 18018bp1 [1,-1,1,94,4961] 2 [7:73:1] 18018bp2 [1,-1,1,-3866,90497] 2 [15:181:1]
18018bq (2 curves)	1	2- 3- 7- 11- 13+	2- 3- -4 7- 11- 13+ -4  0
Curve Equation t Generators 18018bq1 [1,-1,1,-3812,412935] 2 [-49:717:1] 18018bq2 [1,-1,1,-109652,13960455] 2 [147:927:1]
18018br (4 curves)	0	2- 3- 7- 11- 13-	2- 3-  0 7- 11- 13-  6  8
Curve Equation t 18018br1 [1,-1,1,-22640,-1305457] 2 18018br2 [1,-1,1,-23630,-1184281] 2 18018br3 [1,-1,1,-40595,1050995] 6 18018br4 [1,-1,1,-519755,144224003] 6
18018bs (4 curves)	0	2- 3- 7- 11- 13-	2- 3-  0 7- 11- 13- -6 -4
Curve Equation t 18018bs1 [1,-1,1,-2781101930,-56450543058007] 2 18018bs2 [1,-1,1,-2781117770,-56449867855831] 2 18018bs3 [1,-1,1,-2786614385,-56215520508895] 6 18018bs4 [1,-1,1,-4749253745,33231375795233] 6

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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