Cremona's table of elliptic curves

27258 = 2 · 3 · 7 · 11 · 59

Class	r	Atkin-Lehner	Eigenvalues
27258a (4 curves)	0	2+ 3+ 7+ 11+ 59-	2+ 3+ -2 7+ 11+  2 -2  4
Curve Equation t 27258a1 [1,1,0,-132366,-18589644] 2 27258a2 [1,1,0,-142046,-15726300] 4 27258a3 [1,1,0,339094,-98771064] 2 27258a4 [1,1,0,-778066,250766080] 2
27258b (4 curves)	1	2+ 3+ 7+ 11- 59-	2+ 3+ -2 7+ 11-  6  2  4
Curve Equation t Generators 27258b1 [1,1,0,-1071301,-427237811] 2 [-20528171950:10268752703:34328125] 27258b2 [1,1,0,-1071381,-427170915] 4 [1269:15453:1] 27258b3 [1,1,0,-928601,-544964415] 2 [2754245:34259165:2197] 27258b4 [1,1,0,-1215441,-305094471] 4 [-508:13729:1]
27258c (2 curves)	1	2+ 3+ 7- 11+ 59-	2+ 3+  0 7- 11+  0 -6  4
Curve Equation t Generators 27258c1 [1,1,0,-485375,-130357947] 2 [3301:183419:1] 27258c2 [1,1,0,-477535,-134762459] 2 [40158115:2231919037:12167]
27258d (1 curve)	1	2+ 3+ 7- 11+ 59-	2+ 3+  1 7- 11+ -4  0  2
Curve Equation t Generators 27258d1 [1,1,0,-6827,1329693] 1 [179:2336:1]
27258e (1 curve)	1	2+ 3+ 7- 11+ 59-	2+ 3+ -3 7- 11+ -3  3  7
Curve Equation t Generators 27258e1 [1,1,0,-49,31] 1 [-5:16:1]
27258f (1 curve)	1	2+ 3+ 7- 11- 59+	2+ 3+  1 7- 11- -7 -3 -1
Curve Equation t Generators 27258f1 [1,1,0,-2382,-41292] 1 [-21:15:1]
27258g (2 curves)	2	2+ 3+ 7- 11- 59-	2+ 3+ -2 7- 11- -4 -6 -4
Curve Equation t Generators 27258g1 [1,1,0,-1043016,409552704] 2 [-560:28888:1]&[-304:26584:1] 27258g2 [1,1,0,-1092296,368660160] 2 [-315:26265:1]&[2007:78153:1]
27258h (4 curves)	0	2+ 3+ 7- 11- 59-	2+ 3+ -2 7- 11-  6 -6  4
Curve Equation t 27258h1 [1,1,0,-3132321,-2106082251] 2 27258h2 [1,1,0,-6205601,2701142325] 4 27258h3 [1,1,0,21779279,20359601605] 2 27258h4 [1,1,0,-83362961,292766521509] 4
27258i (1 curve)	0	2+ 3- 7+ 11+ 59+	2+ 3-  1 7+ 11+  5  1 -3
Curve Equation t 27258i1 [1,0,1,-393,-3020] 1
27258j (1 curve)	0	2+ 3- 7+ 11+ 59+	2+ 3- -1 7+ 11+ -2  2 -2
Curve Equation t 27258j1 [1,0,1,-5314,-149740] 1
27258k (2 curves)	1	2+ 3- 7+ 11+ 59-	2+ 3-  0 7+ 11+  6 -2  0
Curve Equation t Generators 27258k1 [1,0,1,-12426,530044] 2 [-38:992:1] 27258k2 [1,0,1,-6266,1057340] 2 [276:4375:1]
27258l (1 curve)	1	2+ 3- 7+ 11+ 59-	2+ 3- -1 7+ 11+ -1  3 -5
Curve Equation t Generators 27258l1 [1,0,1,-1797099,906037438] 1 [536:9573:1]
27258m (2 curves)	1	2+ 3- 7+ 11+ 59-	2+ 3-  2 7+ 11+ -2  8 -2
Curve Equation t Generators 27258m1 [1,0,1,-535,3386] 2 [34:140:1] 27258m2 [1,0,1,1385,22586] 2 [534:6212:27]
27258n (2 curves)	1	2+ 3- 7+ 11- 59+	2+ 3-  2 7+ 11-  4  2  0
Curve Equation t Generators 27258n1 [1,0,1,-85,-52] 2 [-2:11:1] 27258n2 [1,0,1,-855,9496] 2 [20:12:1]
27258o (4 curves)	1	2+ 3- 7+ 11- 59+	2+ 3-  2 7+ 11-  6 -6 -4
Curve Equation t Generators 27258o1 [1,0,1,-18330,-998324] 2 [12789318807372771986:-51454046761672051337:78648658388070623] 27258o2 [1,0,1,-296810,-62263924] 4 [5133704490:33489949783:7880599] 27258o3 [1,0,1,-300350,-60703492] 2 [-40205:-183537:125] 27258o4 [1,0,1,-4748950,-3983708836] 2 [16102446398645206:-3237356528199826729:399175981147]
27258p (2 curves)	1	2+ 3- 7- 11+ 59+	2+ 3-  0 7- 11+  5 -6 -7
Curve Equation t Generators 27258p1 [1,0,1,-37147881,87491728492] 3 [-5410:363438:1] 27258p2 [1,0,1,90299544,463504068790] 1 [-80445394:20467338705:39304]
27258q (2 curves)	1	2+ 3- 7- 11+ 59+	2+ 3-  2 7- 11+  2  0  4
Curve Equation t Generators 27258q1 [1,0,1,-190075,-29181742] 2 [-287:1466:1] 27258q2 [1,0,1,224955,-138915674] 2 [560:12477:1]
27258r (2 curves)	1	2+ 3- 7- 11+ 59+	2+ 3- -2 7- 11+ -6  6  2
Curve Equation t Generators 27258r1 [1,0,1,18,-20] 2 [10:29:1] 27258r2 [1,0,1,-92,-196] 2 [-4:12:1]
27258s (4 curves)	0	2+ 3- 7- 11- 59+	2+ 3-  2 7- 11- -6 -2  4
Curve Equation t 27258s1 [1,0,1,510,-8876] 2 27258s2 [1,0,1,-4610,-103084] 4 27258s3 [1,0,1,-20450,1024724] 2 27258s4 [1,0,1,-70690,-7239724] 2
27258t (2 curves)	2	2+ 3- 7- 11- 59+	2+ 3- -4 7- 11- -6 -4 -8
Curve Equation t Generators 27258t1 [1,0,1,-3048,61762] 2 [23:51:1]&[-61:177:1] 27258t2 [1,0,1,-8438,-218518] 2 [-72:166:1]&[-54:310:1]
27258u (1 curve)	1	2+ 3- 7- 11- 59-	2+ 3- -3 7- 11- -4  0 -6
Curve Equation t Generators 27258u1 [1,0,1,-15,-140] 1 [8:12:1]
27258v (2 curves)	1	2- 3+ 7+ 11+ 59-	2- 3+  2 7+ 11+  2  2  6
Curve Equation t Generators 27258v1 [1,1,1,-237,-7389] 2 [45:252:1] 27258v2 [1,1,1,-7277,-241117] 2 [-49:52:1]
27258w (1 curve)	1	2- 3+ 7- 11+ 59+	2- 3+  1 7- 11+ -6  6 -2
Curve Equation t Generators 27258w1 [1,1,1,-1464530,-2637878137] 1 [1189277037:32348226191:571787]
27258x (2 curves)	1	2- 3+ 7- 11+ 59+	2- 3+  2 7- 11+  0  2  4
Curve Equation t Generators 27258x1 [1,1,1,-1053890487,-10346290081527] 2 [12199924698:1985685965283:238328] 27258x2 [1,1,1,-5492787257,147751232837501] 2 [4084060869449078693942:459476265260131113043477:65058906924317384]
27258y (1 curve)	1	2- 3+ 7- 11+ 59+	2- 3+  2 7- 11+ -5  2 -1
Curve Equation t Generators 27258y1 [1,1,1,98,-37] 1 [1:7:1]
27258z (2 curves)	1	2- 3+ 7- 11+ 59+	2- 3+ -2 7- 11+  0 -6  4
Curve Equation t Generators 27258z1 [1,1,1,-209,1007] 2 [5:8:1] 27258z2 [1,1,1,-3289,71231] 2 [33:-14:1]
27258ba (1 curve)	1	2- 3- 7+ 11+ 59+	2- 3- -1 7+ 11+ -2 -1  7
Curve Equation t Generators 27258ba1 [1,0,0,-1936,1356032] 1 [-16:1184:1]
27258bb (2 curves)	1	2- 3- 7+ 11+ 59+	2- 3-  2 7+ 11+ -2  2 -2
Curve Equation t Generators 27258bb1 [1,0,0,1094733,-294465375] 2 [450:16785:1] 27258bb2 [1,0,0,-5347307,-2586543207] 2 [-1784:36613:1]
27258bc (2 curves)	0	2- 3- 7+ 11+ 59-	2- 3-  0 7+ 11+  6  0 -4
Curve Equation t 27258bc1 [1,0,0,-14643,-683235] 2 27258bc2 [1,0,0,-14753,-672477] 2
27258bd (4 curves)	0	2- 3- 7+ 11+ 59-	2- 3-  2 7+ 11+  2  6  4
Curve Equation t 27258bd1 [1,0,0,1758,70980] 2 27258bd2 [1,0,0,-18722,869700] 4 27258bd3 [1,0,0,-75362,-7071228] 2 27258bd4 [1,0,0,-289762,60010628] 4
27258be (2 curves)	0	2- 3- 7+ 11+ 59-	2- 3-  4 7+ 11+  2  0  8
Curve Equation t 27258be1 [1,0,0,-731346,-240491772] 2 27258be2 [1,0,0,-944306,-89077212] 2
27258bf (2 curves)	0	2- 3- 7+ 11- 59+	2- 3-  0 7+ 11- -6  0 -4
Curve Equation t 27258bf1 [1,0,0,-363,2541] 2 27258bf2 [1,0,0,-5753,167475] 2
27258bg (1 curve)	1	2- 3- 7+ 11- 59-	2- 3-  1 7+ 11- -1 -3  5
Curve Equation t Generators 27258bg1 [1,0,0,-1040,8448] 1 [4:64:1]
27258bh (1 curve)	1	2- 3- 7+ 11- 59-	2- 3-  2 7+ 11-  1 -2 -3
Curve Equation t Generators 27258bh1 [1,0,0,36443,-5785087] 1 [926:28211:1]
27258bi (1 curve)	0	2- 3- 7- 11+ 59+	2- 3- -1 7- 11+ -2  3  3
Curve Equation t 27258bi1 [1,0,0,24,-138] 1
27258bj (2 curves)	0	2- 3- 7- 11+ 59+	2- 3-  3 7- 11+  5  3  5
Curve Equation t 27258bj1 [1,0,0,-283514,58080876] 3 27258bj2 [1,0,0,-332924,36443346] 1
27258bk (2 curves)	1	2- 3- 7- 11+ 59-	2- 3-  0 7- 11+  2  0 -8
Curve Equation t Generators 27258bk1 [1,0,0,-68232038,-149275153692] 2 [9324:153930:1] 27258bk2 [1,0,0,-421471078,3215467997924] 2 [370020:2933966:27]
27258bl (1 curve)	1	2- 3- 7- 11+ 59-	2- 3- -3 7- 11+ -1 -3 -5
Curve Equation t Generators 27258bl1 [1,0,0,-13187,20289] 1 [-26:-575:1]
27258bm (2 curves)	1	2- 3- 7- 11- 59+	2- 3-  0 7- 11- -1 -6 -1
Curve Equation t Generators 27258bm1 [1,0,0,-713,-15999] 3 [40:121:1] 27258bm2 [1,0,0,-74963,-7906101] 1 [10022:340439:8]
27258bn (2 curves)	1	2- 3- 7- 11- 59+	2- 3-  0 7- 11- -2  0  0
Curve Equation t Generators 27258bn1 [1,0,0,-16513,-785911] 2 [-70:203:1] 27258bn2 [1,0,0,-44673,2598921] 2 [30:1119:1]
27258bo (2 curves)	1	2- 3- 7- 11- 59+	2- 3-  0 7- 11- -6  4  4
Curve Equation t Generators 27258bo1 [1,0,0,-1931243,1016886321] 2 [24330:66683:27] 27258bo2 [1,0,0,-30767083,65684141105] 2 [3118:-9791:1]
27258bp (1 curve)	1	2- 3- 7- 11- 59+	2- 3- -3 7- 11- -2 -6  6
Curve Equation t Generators 27258bp1 [1,0,0,61323,1128969] 1 [24:1605:1]
27258bq (2 curves)	1	2- 3- 7- 11- 59+	2- 3- -4 7- 11- -1 -2  5
Curve Equation t Generators 27258bq1 [1,0,0,-3280,73376] 5 [-46:380:1] 27258bq2 [1,0,0,18350,-3204514] 1 [2246:38147:8]

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