Cremona's table of elliptic curves

13398 = 2 · 3 · 7 · 11 · 29

Class	r	Atkin-Lehner	Eigenvalues
13398a (2 curves)	0	2+ 3+ 7+ 11+ 29-	2+ 3+  0 7+ 11+ -2  6  6
Curve Equation t 13398a1 [1,1,0,913990,246249108] 2 13398a2 [1,1,0,-4605370,2187959956] 2
13398b (2 curves)	0	2+ 3+ 7+ 11- 29+	2+ 3+ -2 7+ 11- -2 -4  4
Curve Equation t 13398b1 [1,1,0,-276041,55698885] 2 13398b2 [1,1,0,-304201,43606981] 2
13398c (2 curves)	1	2+ 3+ 7- 11+ 29-	2+ 3+  0 7- 11+ -2 -6  2
Curve Equation t Generators 13398c1 [1,1,0,-380,-5424] 2 [25:26:1] 13398c2 [1,1,0,-7420,-249008] 2 [-51:29:1]
13398d (2 curves)	1	2+ 3+ 7- 11+ 29-	2+ 3+  2 7- 11+ -2  8  4
Curve Equation t Generators 13398d1 [1,1,0,6606,-487500] 2 [53:96:1] 13398d2 [1,1,0,-67634,-5966412] 2 [-191:267:1]
13398e (4 curves)	1	2+ 3+ 7- 11- 29+	2+ 3+  2 7- 11-  2 -2  0
Curve Equation t Generators 13398e1 [1,1,0,-1393689,-633830043] 2 [-84905:58787:125] 13398e2 [1,1,0,-1475609,-555235995] 4 [-773:11534:1] 13398e3 [1,1,0,-7396249,7246983397] 2 [-2319:110405:1] 13398e4 [1,1,0,3134311,-3325797915] 2 [1915:97550:1]
13398f (2 curves)	1	2+ 3+ 7- 11- 29+	2+ 3+  2 7- 11-  2 -2  6
Curve Equation t Generators 13398f1 [1,1,0,96,-468] 2 [11:40:1] 13398f2 [1,1,0,-674,-5550] 2 [33:81:1]
13398g (2 curves)	0	2+ 3+ 7- 11- 29-	2+ 3+  2 7- 11-  2  0  6
Curve Equation t 13398g1 [1,1,0,-44,-132] 2 13398g2 [1,1,0,-14,-270] 2
13398h (2 curves)	0	2+ 3+ 7- 11- 29-	2+ 3+  2 7- 11- -6  0  6
Curve Equation t 13398h1 [1,1,0,-639639,193638357] 2 13398h2 [1,1,0,-17559,554818005] 2
13398i (2 curves)	0	2+ 3- 7+ 11+ 29+	2+ 3-  4 7+ 11+  4  8  0
Curve Equation t 13398i1 [1,0,1,81,-926] 2 13398i2 [1,0,1,-1079,-12526] 2
13398j (2 curves)	1	2+ 3- 7+ 11+ 29-	2+ 3-  2 7+ 11+ -2  0  4
Curve Equation t Generators 13398j1 [1,0,1,-15,46] 2 [4:5:1] 13398j2 [1,0,1,-305,2018] 2 [8:6:1]
13398k (1 curve)	1	2+ 3- 7+ 11+ 29-	2+ 3- -3 7+ 11+  3 -5 -6
Curve Equation t Generators 13398k1 [1,0,1,-4852585,-4139861140] 1 [16699:2129762:1]
13398l (2 curves)	1	2+ 3- 7+ 11- 29+	2+ 3-  2 7+ 11- -6  2 -2
Curve Equation t Generators 13398l1 [1,0,1,-820,-9166] 2 [3201:179503:1] 13398l2 [1,0,1,-13140,-580814] 2 [86448:4845370:27]
13398m (2 curves)	1	2+ 3- 7+ 11- 29+	2+ 3- -2 7+ 11- -2  4 -8
Curve Equation t Generators 13398m1 [1,0,1,-122,-520] 2 [-6:4:1] 13398m2 [1,0,1,-232,536] 2 [-8:47:1]
13398n (2 curves)	1	2+ 3- 7+ 11- 29+	2+ 3- -4 7+ 11-  0 -4  4
Curve Equation t Generators 13398n1 [1,0,1,-1383,74902] 2 [-31:312:1] 13398n2 [1,0,1,-36473,2671562] 2 [90:301:1]
13398o (2 curves)	0	2+ 3- 7+ 11- 29-	2+ 3-  0 7+ 11-  0 -2  0
Curve Equation t 13398o1 [1,0,1,-219531,-38607434] 2 13398o2 [1,0,1,-516491,88135094] 2
13398p (2 curves)	0	2+ 3- 7+ 11- 29-	2+ 3-  0 7+ 11-  2  2  6
Curve Equation t 13398p1 [1,0,1,59,-208] 2 13398p2 [1,0,1,-381,-2144] 2
13398q (4 curves)	1	2+ 3- 7- 11+ 29+	2+ 3-  2 7- 11+ -2 -2  0
Curve Equation t Generators 13398q1 [1,0,1,-494050,144559028] 2 [28:11420:1] 13398q2 [1,0,1,-8083170,8844726196] 4 [1442:12981:1] 13398q3 [1,0,1,-8261810,8433282548] 2 [1266:1189:1] 13398q4 [1,0,1,-129330450,566097225076] 2 [6572:-2409:1]
13398r (2 curves)	1	2+ 3- 7- 11+ 29+	2+ 3- -2 7- 11+ -2 -4  4
Curve Equation t Generators 13398r1 [1,0,1,-9367,-349510] 2 [-56:41:1] 13398r2 [1,0,1,-11127,-209414] 2 [-82:432:1]
13398s (2 curves)	1	2+ 3- 7- 11+ 29+	2+ 3- -3 7- 11+  5 -3  2
Curve Equation t Generators 13398s1 [1,0,1,-95,8930] 3 [-21:52:1] 13398s2 [1,0,1,850,-240928] 1 [69:349:1]
13398t (4 curves)	0	2+ 3- 7- 11- 29+	2+ 3-  2 7- 11-  2  6  4
Curve Equation t 13398t1 [1,0,1,-95,-142] 2 13398t2 [1,0,1,-815,8786] 4 13398t3 [1,0,1,-12995,569066] 2 13398t4 [1,0,1,-155,22778] 2
13398u (4 curves)	1	2+ 3- 7- 11- 29-	2+ 3-  0 7- 11-  2  6  2
Curve Equation t Generators 13398u1 [1,0,1,-29761,-5465056] 6 [294:3202:1] 13398u2 [1,0,1,-681951,-216513740] 6 [8470:121887:8] 13398u3 [1,0,1,-3451036,-2467877734] 2 [171510:24929231:8] 13398u4 [1,0,1,-55216596,-157930207526] 2 [593334570:81780836737:27000]
13398v (2 curves)	0	2- 3+ 7+ 11+ 29+	2- 3+  0 7+ 11+ -4 -2 -8
Curve Equation t 13398v1 [1,1,1,-2748,-56583] 2 13398v2 [1,1,1,-3038,-44287] 2
13398w (2 curves)	0	2- 3+ 7+ 11+ 29+	2- 3+ -2 7+ 11+  2 -4 -6
Curve Equation t 13398w1 [1,1,1,-275534,-55783285] 2 13398w2 [1,1,1,-271214,-57611509] 2
13398x (1 curve)	0	2- 3+ 7+ 11+ 29+	2- 3+  3 7+ 11+ -1  7 -2
Curve Equation t 13398x1 [1,1,1,241,1349] 1
13398y (2 curves)	1	2- 3+ 7+ 11- 29+	2- 3+ -2 7+ 11- -2 -4  4
Curve Equation t Generators 13398y1 [1,1,1,-34,-529] 2 [13:31:1] 13398y2 [1,1,1,-1194,-16305] 2 [-21:17:1]
13398z (4 curves)	0	2- 3+ 7+ 11- 29-	2- 3+  2 7+ 11-  6  6  8
Curve Equation t 13398z1 [1,1,1,7353,-82371] 4 13398z2 [1,1,1,-31367,-717379] 4 13398z3 [1,1,1,-401407,-97963891] 2 13398z4 [1,1,1,-280847,56663021] 2
13398ba (2 curves)	1	2- 3+ 7- 11+ 29+	2- 3+  0 7- 11+  4 -2  0
Curve Equation t Generators 13398ba1 [1,1,1,-343,1517] 2 [-5:58:1] 13398ba2 [1,1,1,-4983,133293] 2 [-17:470:1]
13398bb (4 curves)	0	2- 3+ 7- 11+ 29-	2- 3+  2 7- 11+ -2  2  4
Curve Equation t 13398bb1 [1,1,1,-49137,9832719] 4 13398bb2 [1,1,1,-1052657,414853391] 4 13398bb3 [1,1,1,-1323697,184252559] 2 13398bb4 [1,1,1,-16837937,26586847631] 2
13398bc (4 curves)	0	2- 3+ 7- 11+ 29-	2- 3+  2 7- 11+  6  2  4
Curve Equation t 13398bc1 [1,1,1,12278078,44447728079] 4 13398bc2 [1,1,1,-138312642,558504209871] 4 13398bc3 [1,1,1,-540061682,-4243521715441] 2 13398bc4 [1,1,1,-2146015122,38263156784271] 2
13398bd (2 curves)	1	2- 3+ 7- 11- 29-	2- 3+  2 7- 11- -6  0  0
Curve Equation t Generators 13398bd1 [1,1,1,-42,-9] 2 [-3:11:1] 13398bd2 [1,1,1,-482,3863] 2 [-9:91:1]
13398be (2 curves)	0	2- 3- 7+ 11+ 29-	2- 3-  2 7+ 11+  2  0  8
Curve Equation t 13398be1 [1,0,0,-7522,-250300] 2 13398be2 [1,0,0,-120162,-16042428] 2
13398bf (4 curves)	0	2- 3- 7+ 11+ 29-	2- 3-  2 7+ 11+  2  6 -4
Curve Equation t 13398bf1 [1,0,0,308,42368] 4 13398bf2 [1,0,0,-16512,792540] 4 13398bf3 [1,0,0,-40002,-1974582] 2 13398bf4 [1,0,0,-262142,51637950] 2
13398bg (4 curves)	0	2- 3- 7+ 11+ 29-	2- 3-  2 7+ 11+ -2  2  4
Curve Equation t 13398bg1 [1,0,0,-13822,-626620] 2 13398bg2 [1,0,0,-13902,-619020] 4 13398bg3 [1,0,0,-30842,1180008] 4 13398bg4 [1,0,0,1758,-1931328] 2
13398bh (2 curves)	1	2- 3- 7+ 11- 29-	2- 3-  0 7+ 11- -4 -4  0
Curve Equation t Generators 13398bh1 [1,0,0,14267,202433] 2 [44:935:1] 13398bh2 [1,0,0,-59973,1642689] 2 [-30:1863:1]
13398bi (2 curves)	0	2- 3- 7- 11+ 29+	2- 3-  0 7- 11+ -4  6 -4
Curve Equation t 13398bi1 [1,0,0,-53,93] 2 13398bi2 [1,0,0,-343,-2401] 2
13398bj (4 curves)	1	2- 3- 7- 11+ 29-	2- 3- -2 7- 11+  2  2 -8
Curve Equation t Generators 13398bj1 [1,0,0,-504,-4032] 2 [-12:24:1] 13398bj2 [1,0,0,-1784,24384] 4 [-26:244:1] 13398bj3 [1,0,0,-27304,1734224] 4 [-46:1724:1] 13398bj4 [1,0,0,3256,138288] 2 [-2:364:1]
13398bk (2 curves)	1	2- 3- 7- 11- 29+	2- 3- -2 7- 11- -2  4 -4
Curve Equation t Generators 13398bk1 [1,0,0,2271,60489] 2 [-6:219:1] 13398bk2 [1,0,0,-16289,628425] 2 [-98:1183:1]

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