Cremona's table of elliptic curves

67158 = 2 · 3² · 7 · 13 · 41

Class	r	Atkin-Lehner	Eigenvalues
67158a (1 curve)	0	2+ 3+ 7+ 13+ 41-	2+ 3+ -1 7+ -3 13+  3  1
Curve Equation t 67158a1 [1,-1,0,-74670,-7907698] 1
67158b (2 curves)	0	2+ 3+ 7+ 13- 41+	2+ 3+  2 7+  0 13-  2  4
Curve Equation t 67158b1 [1,-1,0,174,1952] 2 67158b2 [1,-1,0,-1716,24254] 2
67158c (1 curve)	0	2+ 3+ 7+ 13- 41+	2+ 3+ -3 7+  0 13-  2  4
Curve Equation t 67158c1 [1,-1,0,2084784,-10078991104] 1
67158d (1 curve)	1	2+ 3+ 7+ 13- 41-	2+ 3+  1 7+  0 13-  6  4
Curve Equation t Generators 67158d1 [1,-1,0,-2184,-82008] 1 [147:1587:1]
67158e (1 curve)	1	2+ 3+ 7+ 13- 41-	2+ 3+  1 7+  3 13-  5 -6
Curve Equation t Generators 67158e1 [1,-1,0,-21939,-1245259] 1 [-85:46:1]
67158f (1 curve)	0	2+ 3+ 7- 13+ 41+	2+ 3+  1 7-  4 13+ -2  0
Curve Equation t 67158f1 [1,-1,0,-3498868644,79660744553456] 1
67158g (1 curve)	1	2+ 3+ 7- 13+ 41-	2+ 3+ -1 7-  0 13+ -6  4
Curve Equation t Generators 67158g1 [1,-1,0,30,52] 1 [-1:5:1]
67158h (1 curve)	1	2+ 3+ 7- 13- 41+	2+ 3+  2 7- -3 13-  0 -5
Curve Equation t Generators 67158h1 [1,-1,0,-30381,-2458811] 1 [215:848:1]
67158i (2 curves)	2	2+ 3+ 7- 13- 41-	2+ 3+ -3 7- -3 13- -3  2
Curve Equation t Generators 67158i1 [1,-1,0,-3876,83268] 3 [-69:171:1]&[-62:318:1] 67158i2 [1,-1,0,-75831,-8007139] 1 [-161:175:1]&[-154:105:1]
67158j (1 curve)	0	2+ 3- 7+ 13+ 41+	2+ 3-  3 7+ -5 13+ -7  6
Curve Equation t 67158j1 [1,-1,0,-1073239893,12341757847797] 1
67158k (1 curve)	1	2+ 3- 7+ 13- 41+	2+ 3-  0 7+  3 13- -8  7
Curve Equation t Generators 67158k1 [1,-1,0,139113,-1361633] 1 [1313:48776:1]
67158l (2 curves)	1	2+ 3- 7+ 13- 41+	2+ 3-  0 7+  6 13-  2  4
Curve Equation t Generators 67158l1 [1,-1,0,1623,-45991] 2 [61:496:1] 67158l2 [1,-1,0,-13587,-505333] 2 [139:457:1]
67158m (2 curves)	1	2+ 3- 7+ 13- 41+	2+ 3-  2 7+ -2 13- -2 -4
Curve Equation t Generators 67158m1 [1,-1,0,-5059251,-4386474891] 2 [116334:13791123:8] 67158m2 [1,-1,0,-80987571,-280507403403] 2 [-1782102:881691:343]
67158n (1 curve)	0	2+ 3- 7+ 13- 41-	2+ 3-  0 7+  3 13- -4  1
Curve Equation t 67158n1 [1,-1,0,-8127,-280017] 1
67158o (1 curve)	0	2+ 3- 7+ 13- 41-	2+ 3- -1 7+  5 13- -3  5
Curve Equation t 67158o1 [1,-1,0,2520,-239648] 1
67158p (1 curve)	1	2+ 3- 7- 13+ 41+	2+ 3- -1 7- -1 13+  5  2
Curve Equation t Generators 67158p1 [1,-1,0,-24885,-1504251] 1 [-90:63:1]
67158q (4 curves)	1	2+ 3- 7- 13+ 41+	2+ 3-  2 7- -4 13+  2 -4
Curve Equation t Generators 67158q1 [1,-1,0,-34461,6454917] 2 [-21:2688:1] 67158q2 [1,-1,0,-771741,260816517] 4 [-153:19449:1] 67158q3 [1,-1,0,-996381,96784389] 2 [1713:57576:1] 67158q4 [1,-1,0,-12343581,16695143685] 2 [2535:39840:1]
67158r (2 curves)	0	2+ 3- 7- 13+ 41-	2+ 3-  1 7-  2 13+ -4 -8
Curve Equation t 67158r1 [1,-1,0,-1402254,-638940204] 1 67158r2 [1,-1,0,7781256,28217419146] 1
67158s (1 curve)	2	2+ 3- 7- 13+ 41-	2+ 3- -1 7- -3 13+  3 -8
Curve Equation t Generators 67158s1 [1,-1,0,-1485,16249] 1 [5:92:1]&[-30:197:1]
67158t (4 curves)	0	2+ 3- 7- 13+ 41-	2+ 3- -2 7- -4 13+  2  4
Curve Equation t 67158t1 [1,-1,0,-125433,19157229] 2 67158t2 [1,-1,0,-2072313,1148737005] 4 67158t3 [1,-1,0,-2137833,1072275165] 2 67158t4 [1,-1,0,-33156873,73494941949] 2
67158u (4 curves)	0	2+ 3- 7- 13- 41+	2+ 3-  2 7-  0 13-  6  4
Curve Equation t 67158u1 [1,-1,0,-18936,1007680] 2 67158u2 [1,-1,0,-19656,927472] 4 67158u3 [1,-1,0,32004,4946620] 2 67158u4 [1,-1,0,-82836,-8233628] 2
67158v (4 curves)	1	2+ 3- 7- 13- 41-	2+ 3-  0 7-  0 13-  6 -4
Curve Equation t Generators 67158v1 [1,-1,0,-5787,-463131] 2 [141:1158:1] 67158v2 [1,-1,0,-132147,-18431523] 2 [789:18789:1] 67158v3 [1,-1,0,50913,11028825] 6 [732:20613:1] 67158v4 [1,-1,0,-542277,135954639] 6 [297213:5949789:343]
67158w (3 curves)	1	2+ 3- 7- 13- 41-	2+ 3-  0 7- -6 13-  0  2
Curve Equation t Generators 67158w1 [1,-1,0,-140967,-20336643] 1 [317502:468449:729] 67158w2 [1,-1,0,-57447,-44167491] 3 [2230:103353:1] 67158w3 [1,-1,0,515853,1177718265] 3 [2470:131115:1]
67158x (2 curves)	1	2+ 3- 7- 13- 41-	2+ 3-  3 7-  3 13- -3 -4
Curve Equation t Generators 67158x1 [1,-1,0,-2767338,-1120258188] 1 [-1148:23870:1] 67158x2 [1,-1,0,-92735658,343701220788] 3 [796:519590:1]
67158y (2 curves)	1	2+ 3- 7- 13- 41-	2+ 3-  3 7- -3 13-  3 -1
Curve Equation t Generators 67158y1 [1,-1,0,-300784653,2041726210533] 1 [48711:10122960:1] 67158y2 [1,-1,0,-24477301773,1473992350953957] 3 [267601805733:13110055596912:2685619]
67158z (2 curves)	1	2+ 3- 7- 13- 41-	2+ 3- -4 7-  2 13- -2  0
Curve Equation t Generators 67158z1 [1,-1,0,-6489,511609] 2 [-28:-805:1] 67158z2 [1,-1,0,-143379,20908219] 2 [141:1795:1]
67158ba (1 curve)	0	2- 3+ 7+ 13+ 41+	2- 3+  1 7+  3 13+ -3  1
Curve Equation t 67158ba1 [1,-1,1,-8297,295643] 1
67158bb (1 curve)	1	2- 3+ 7+ 13- 41+	2- 3+ -1 7+  0 13- -6  4
Curve Equation t Generators 67158bb1 [1,-1,1,-19658,2233873] 1 [-89:1853:1]
67158bc (1 curve)	1	2- 3+ 7+ 13- 41+	2- 3+ -1 7+ -3 13- -5 -6
Curve Equation t Generators 67158bc1 [1,-1,1,-2438,46933] 1 [31:-37:1]
67158bd (2 curves)	0	2- 3+ 7+ 13- 41-	2- 3+ -2 7+  0 13- -2  4
Curve Equation t 67158bd1 [1,-1,1,19,-79] 2 67158bd2 [1,-1,1,-191,-835] 2
67158be (1 curve)	0	2- 3+ 7+ 13- 41-	2- 3+  3 7+  0 13- -2  4
Curve Equation t 67158be1 [1,-1,1,18763054,272113996753] 1
67158bf (1 curve)	1	2- 3+ 7- 13+ 41+	2- 3+  1 7-  0 13+  6  4
Curve Equation t Generators 67158bf1 [1,-1,1,268,-1673] 1 [31:173:1]
67158bg (1 curve)	0	2- 3+ 7- 13+ 41-	2- 3+ -1 7- -4 13+  2  0
Curve Equation t 67158bg1 [1,-1,1,-388763183,-2950268358697] 1
67158bh (2 curves)	0	2- 3+ 7- 13- 41+	2- 3+  3 7-  3 13-  3  2
Curve Equation t 67158bh1 [1,-1,1,-8426,299369] 3 67158bh2 [1,-1,1,-34886,-2213351] 1
67158bi (1 curve)	1	2- 3+ 7- 13- 41-	2- 3+ -2 7-  3 13-  0 -5
Curve Equation t Generators 67158bi1 [1,-1,1,-273431,66661327] 1 [175:-5002:1]
67158bj (1 curve)	1	2- 3- 7+ 13+ 41+	2- 3-  1 7+  0 13+  3  4
Curve Equation t Generators 67158bj1 [1,-1,1,-60512,5237507] 1 [-35:2721:1]
67158bk (1 curve)	1	2- 3- 7+ 13+ 41+	2- 3-  1 7+ -3 13+ -3  0
Curve Equation t Generators 67158bk1 [1,-1,1,-27359582,49304938673] 1 [-277315851:9611033005:50653]
67158bl (4 curves)	1	2- 3- 7+ 13+ 41+	2- 3- -2 7+  0 13+  6  0
Curve Equation t Generators 67158bl1 [1,-1,1,-5171,-24685] 2 [-5:34:1] 67158bl2 [1,-1,1,-51251,4454291] 4 [207:-1742:1] 67158bl3 [1,-1,1,-21011,9643475] 2 [135:-3110:1] 67158bl4 [1,-1,1,-818771,285366611] 2 [535:222:1]
67158bm (1 curve)	1	2- 3- 7+ 13+ 41+	2- 3-  4 7+ -3 13+  0  1
Curve Equation t Generators 67158bm1 [1,-1,1,-813173,-298882771] 1 [198105:6013316:125]
67158bn (1 curve)	0	2- 3- 7+ 13+ 41-	2- 3-  1 7+  5 13+  7  2
Curve Equation t 67158bn1 [1,-1,1,-341357,-76561963] 1
67158bo (1 curve)	0	2- 3- 7+ 13+ 41-	2- 3- -3 7+  2 13+  1  0
Curve Equation t 67158bo1 [1,-1,1,-7394,245747] 1
67158bp (1 curve)	2	2- 3- 7+ 13+ 41-	2- 3- -3 7+ -5 13+ -1 -2
Curve Equation t Generators 67158bp1 [1,-1,1,-1544,-1461] 1 [53:-279:1]&[-31:141:1]
67158bq (1 curve)	1	2- 3- 7+ 13- 41-	2- 3-  1 7+ -1 13-  5 -2
Curve Equation t Generators 67158bq1 [1,-1,1,-543407,149474103] 1 [683:9486:1]
67158br (1 curve)	1	2- 3- 7+ 13- 41-	2- 3-  1 7+  3 13-  3  1
Curve Equation t Generators 67158br1 [1,-1,1,-22577,-1301407] 1 [303:-4580:1]
67158bs (1 curve)	1	2- 3- 7+ 13- 41-	2- 3-  1 7+  6 13-  1 -8
Curve Equation t Generators 67158bs1 [1,-1,1,-2539247,1557445367] 1 [895:618:1]
67158bt (1 curve)	1	2- 3- 7+ 13- 41-	2- 3- -1 7+ -6 13- -4 -4
Curve Equation t Generators 67158bt1 [1,-1,1,-8888,584763] 1 [89:657:1]
67158bu (1 curve)	1	2- 3- 7+ 13- 41-	2- 3-  4 7+  2 13- -4 -2
Curve Equation t Generators 67158bu1 [1,-1,1,-158,-831] 1 [1236:2885:64]
67158bv (4 curves)	0	2- 3- 7- 13+ 41+	2- 3- -2 7-  4 13+  6  8
Curve Equation t 67158bv1 [1,-1,1,-2111,37847] 2 67158bv2 [1,-1,1,-2291,31151] 4 67158bv3 [1,-1,1,5899,198227] 2 67158bv4 [1,-1,1,-13361,-566629] 2
67158bw (1 curve)	1	2- 3- 7- 13+ 41-	2- 3-  1 7- -1 13+  3 -6
Curve Equation t Generators 67158bw1 [1,-1,1,-24264347,43271234763] 1 [2057:44358:1]
67158bx (1 curve)	1	2- 3- 7- 13+ 41-	2- 3- -1 7- -1 13+ -1 -3
Curve Equation t Generators 67158bx1 [1,-1,1,51592,-8000755] 1 [12948:202717:64]
67158by (1 curve)	1	2- 3- 7- 13+ 41-	2- 3- -1 7-  2 13+  0  0
Curve Equation t Generators 67158by1 [1,-1,1,-473,4443] 1 [94:111:8]
67158bz (1 curve)	1	2- 3- 7- 13+ 41-	2- 3- -1 7-  2 13+  5  0
Curve Equation t Generators 67158bz1 [1,-1,1,-106240703,421481139815] 1 [5125:105090:1]
67158ca (1 curve)	1	2- 3- 7- 13+ 41-	2- 3- -3 7-  0 13+ -3  4
Curve Equation t Generators 67158ca1 [1,-1,1,-3023654,-2022944331] 1 [-64236:32255:64]
67158cb (1 curve)	1	2- 3- 7- 13- 41+	2- 3-  0 7-  3 13- -4 -5
Curve Equation t Generators 67158cb1 [1,-1,1,40675,-686811] 1 [383:8232:1]
67158cc (2 curves)	0	2- 3- 7- 13- 41-	2- 3-  0 7-  3 13-  0  5
Curve Equation t 67158cc1 [1,-1,1,126535,579034433] 1 67158cc2 [1,-1,1,-48785720,131184675515] 3
67158cd (2 curves)	0	2- 3- 7- 13- 41-	2- 3-  3 7-  6 13- -3  8
Curve Equation t 67158cd1 [1,-1,1,-9986,-356407] 1 67158cd2 [1,-1,1,-154481,23334689] 3

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