Cremona's table of elliptic curves

122130 = 2 · 3² · 5 · 23 · 59

Class	r	Atkin-Lehner	Eigenvalues
122130a (1 curve)	1	2+ 3+ 5+ 23+ 59+	2+ 3+ 5+ -1  1  4 -2 -3
Curve Equation t Generators 122130a1 [1,-1,0,-342240,-89261344] 1 [258312378813449:5237184124828001:282687895547]
122130b (1 curve)	1	2+ 3+ 5+ 23+ 59+	2+ 3+ 5+ -2  1  3 -3  4
Curve Equation t Generators 122130b1 [1,-1,0,105555,5738021] 1 [143:4801:1]
122130c (2 curves)	2	2+ 3+ 5+ 23- 59+	2+ 3+ 5+ -2 -4 -2 -2  2
Curve Equation t Generators 122130c1 [1,-1,0,-15,925] 2 [-7:29:1]&[2:29:1] 122130c2 [1,-1,0,-1515,22825] 2 [-40:155:1]&[6:115:1]
122130d (1 curve)	0	2+ 3+ 5- 23+ 59+	2+ 3+ 5- -2 -5 -1  3  4
Curve Equation t 122130d1 [1,-1,0,-44753392419,3644105995622933] 1
122130e (1 curve)	1	2+ 3+ 5- 23+ 59-	2+ 3+ 5- -2 -5  1 -3 -4
Curve Equation t Generators 122130e1 [1,-1,0,1551,36755] 1 [31:-353:1]
122130f (1 curve)	1	2+ 3+ 5- 23- 59+	2+ 3+ 5-  1 -5  0  6  3
Curve Equation t Generators 122130f1 [1,-1,0,-1156749,-509605147] 1 [103101974126239548060820793:3718634564379913255798567496:50763727272294639755621]
122130g (4 curves)	1	2+ 3+ 5- 23- 59+	2+ 3+ 5-  2  0  2 -6  2
Curve Equation t Generators 122130g1 [1,-1,0,-205134,63949140] 6 [20838:1038681:8] 122130g2 [1,-1,0,-3955134,3027199140] 6 [-1364:77382:1] 122130g3 [1,-1,0,1735491,-1217970235] 2 [5194975785090:262274099881919:2543302125] 122130g4 [1,-1,0,-12088509,-12550885435] 2 [19677970:1688620855:2197]
122130h (6 curves)	0	2+ 3- 5+ 23+ 59+	2+ 3- 5+  0 -4 -2 -2  4
Curve Equation t 122130h1 [1,-1,0,6393015,-59485673075] 2 122130h2 [1,-1,0,-195092505,-1007716827299] 4 122130h3 [1,-1,0,-526553325,3323879460625] 4 122130h4 [1,-1,0,-3087400005,-66028524811799] 2 122130h5 [1,-1,0,1381727925,21890311054375] 2 122130h6 [1,-1,0,-7738207695,261975632764171] 2
122130i (1 curve)	0	2+ 3- 5+ 23+ 59+	2+ 3- 5+ -3  2  1 -2  4
Curve Equation t 122130i1 [1,-1,0,-93150,-10921964] 1
122130j (1 curve)	1	2+ 3- 5+ 23+ 59-	2+ 3- 5+ -1  5 -5  7 -6
Curve Equation t Generators 122130j1 [1,-1,0,-6064200,-5821880000] 1 [543436850:122350941575:10648]
122130k (1 curve)	1	2+ 3- 5+ 23+ 59-	2+ 3- 5+ -2 -3  6  2  6
Curve Equation t Generators 122130k1 [1,-1,0,-25785,1684935] 1 [-3:1329:1]
122130l (1 curve)	1	2+ 3- 5+ 23+ 59-	2+ 3- 5+ -5  3 -3  5  0
Curve Equation t Generators 122130l1 [1,-1,0,1125,-50139] 1 [63:-549:1]
122130m (2 curves)	1	2+ 3- 5+ 23- 59+	2+ 3- 5+  2  0  2 -2  6
Curve Equation t Generators 122130m1 [1,-1,0,-25380,1584976] 2 [-7:1331:1] 122130m2 [1,-1,0,-407700,100300000] 2 [363:14:1]
122130n (2 curves)	1	2+ 3- 5+ 23- 59+	2+ 3- 5+  2  0 -6 -2 -2
Curve Equation t Generators 122130n1 [1,-1,0,-6457545,-6537649779] 2 [2144738841:83745023892:571787] 122130n2 [1,-1,0,-104331465,-410150121075] 2 [3296257272275595:-510500952448801860:117433042273]
122130o (4 curves)	1	2+ 3- 5+ 23- 59+	2+ 3- 5+  4 -4 -2 -2  8
Curve Equation t Generators 122130o1 [1,-1,0,-708525,-3754277339] 2 [177646699:573208888:103823] 122130o2 [1,-1,0,-40809645,-99507731675] 4 [37441421790290935:47174904615479407345:23565848363] 122130o3 [1,-1,0,-71777565,72110287381] 2 [-2384955:-378944749:729] 122130o4 [1,-1,0,-651459645,-6399828041675] 2 [21613724206836166799784546768121:27229895145091658732115489302587039:13603142350221817994954261]
122130p (2 curves)	1	2+ 3- 5+ 23- 59+	2+ 3- 5+ -4 -6  2  8  8
Curve Equation t Generators 122130p1 [1,-1,0,360,1516] 2 [5:56:1] 122130p2 [1,-1,0,-1710,14350] 2 [-25:215:1]
122130q (1 curve)	1	2+ 3- 5+ 23- 59+	2+ 3- 5+ -5 -1 -2  4 -7
Curve Equation t Generators 122130q1 [1,-1,0,-5175,146155] 1 [71:329:1]
122130r (6 curves)	0	2+ 3- 5+ 23- 59-	2+ 3- 5+  0  4  6 -2 -4
Curve Equation t 122130r1 [1,-1,0,-177525,-39534539] 2 122130r2 [1,-1,0,-3126645,-2126921675] 4 122130r3 [1,-1,0,-3414645,-1711452875] 4 122130r4 [1,-1,0,-50024565,-136170556619] 2 122130r5 [1,-1,0,9116955,-11368303835] 2 122130r6 [1,-1,0,-20554245,34531945285] 2
122130s (2 curves)	0	2+ 3- 5+ 23- 59-	2+ 3- 5+  0 -4  4  4  0
Curve Equation t 122130s1 [1,-1,0,-20880,-1155924] 2 122130s2 [1,-1,0,-22950,-911250] 2
122130t (1 curve)	0	2+ 3- 5+ 23- 59-	2+ 3- 5+  2 -1  0 -2 -8
Curve Equation t 122130t1 [1,-1,0,-1244655,-534226739] 1
122130u (1 curve)	0	2+ 3- 5+ 23- 59-	2+ 3- 5+  3 -2 -3  4  2
Curve Equation t 122130u1 [1,-1,0,7065,-103559] 1
122130v (1 curve)	1	2+ 3- 5- 23+ 59+	2+ 3- 5- -1 -2  1  8 -2
Curve Equation t Generators 122130v1 [1,-1,0,-9,1485] 1 [-6:39:1]
122130w (2 curves)	1	2+ 3- 5- 23+ 59+	2+ 3- 5- -4 -2  2  0  4
Curve Equation t Generators 122130w1 [1,-1,0,-8334,-350892] 2 [176328:3048705:512] 122130w2 [1,-1,0,-140814,-20302380] 2 [11022:386367:8]
122130x (1 curve)	1	2+ 3- 5- 23+ 59+	2+ 3- 5- -5 -2  5  4 -6
Curve Equation t Generators 122130x1 [1,-1,0,-555264999,-5036064982695] 1 [426756:278137047:1]
122130y (1 curve)	0	2+ 3- 5- 23+ 59-	2+ 3- 5-  1 -1  3  7  6
Curve Equation t 122130y1 [1,-1,0,714141,270577165] 1
122130z (1 curve)	0	2+ 3- 5- 23+ 59-	2+ 3- 5-  2 -5 -4 -2 -4
Curve Equation t 122130z1 [1,-1,0,-501534,-490008812] 1
122130ba (1 curve)	0	2+ 3- 5- 23+ 59-	2+ 3- 5- -2 -3  4 -6  0
Curve Equation t 122130ba1 [1,-1,0,-289263834,-2541865377740] 1
122130bb (1 curve)	0	2+ 3- 5- 23+ 59-	2+ 3- 5-  3 -5  6  0  7
Curve Equation t 122130bb1 [1,-1,0,1476,277128] 1
122130bc (4 curves)	0	2+ 3- 5- 23- 59+	2+ 3- 5- -4  0 -2  6  4
Curve Equation t 122130bc1 [1,-1,0,-33039,-4528355] 2 122130bc2 [1,-1,0,-659619,-205911167] 4 122130bc3 [1,-1,0,-792369,-116995217] 2 122130bc4 [1,-1,0,-10552149,-13190846045] 2
122130bd (1 curve)	1	2+ 3- 5- 23- 59-	2+ 3- 5-  1  3 -1  3 -6
Curve Equation t Generators 122130bd1 [1,-1,0,-6729,217403] 1 [47:-81:1]
122130be (1 curve)	1	2+ 3- 5- 23- 59-	2+ 3- 5- -2  5 -6 -6 -2
Curve Equation t Generators 122130be1 [1,-1,0,441,6565] 1 [11:-118:1]
122130bf (1 curve)	1	2- 3+ 5+ 23+ 59-	2- 3+ 5+  1  5  0 -6  3
Curve Equation t Generators 122130bf1 [1,-1,1,-128528,18917107] 1 [277:1985:1]
122130bg (4 curves)	1	2- 3+ 5+ 23+ 59-	2- 3+ 5+  2  0  2  6  2
Curve Equation t Generators 122130bg1 [1,-1,1,192832,45045731] 6 [322355:13535807:1331] 122130bg2 [1,-1,1,-1343168,465295331] 6 [-305:29247:1] 122130bg3 [1,-1,1,-1846208,-1724780573] 2 [2069245330202823003:-199791760632054241337:219158067222171] 122130bg4 [1,-1,1,-35596208,-81698780573] 2 [-1639205859159:-1666709558639:480048687]
122130bh (1 curve)	1	2- 3+ 5+ 23- 59+	2- 3+ 5+ -2  5  1  3 -4
Curve Equation t Generators 122130bh1 [1,-1,1,172,-1419] 1 [660:2013:64]
122130bi (1 curve)	0	2- 3+ 5+ 23- 59-	2- 3+ 5+ -2  5 -1 -3  4
Curve Equation t 122130bi1 [1,-1,1,-4972599158,-134965231193723] 1
122130bj (2 curves)	0	2- 3+ 5- 23+ 59-	2- 3+ 5- -2  4 -2  2  2
Curve Equation t 122130bj1 [1,-1,1,-137,-24839] 2 122130bj2 [1,-1,1,-13637,-602639] 2
122130bk (1 curve)	1	2- 3+ 5- 23- 59-	2- 3+ 5- -1 -1  4  2 -3
Curve Equation t Generators 122130bk1 [1,-1,1,-38027,3318651] 1 [-199:1824:1]
122130bl (1 curve)	1	2- 3+ 5- 23- 59-	2- 3+ 5- -2 -1  3  3  4
Curve Equation t Generators 122130bl1 [1,-1,1,11728,-216429] 1 [29:369:1]
122130bm (2 curves)	1	2- 3- 5+ 23+ 59+	2- 3- 5+  0  0  0  0  0
Curve Equation t Generators 122130bm1 [1,-1,1,-3038,-9619] 2 [-35:247:1] 122130bm2 [1,-1,1,-36158,-2632723] 2 [-107:103:1]
122130bn (1 curve)	1	2- 3- 5+ 23+ 59+	2- 3- 5+  3  3 -3  3 -6
Curve Equation t Generators 122130bn1 [1,-1,1,2188147,-468665413] 1 [788142672678:9871115762743:3695119336]
122130bo (2 curves)	0	2- 3- 5+ 23+ 59-	2- 3- 5+ -1 -6  5 -6  8
Curve Equation t 122130bo1 [1,-1,1,-1414328,674068331] 1 122130bo2 [1,-1,1,-115849103,479969158871] 3
122130bp (1 curve)	0	2- 3- 5+ 23+ 59-	2- 3- 5+  2 -1  0 -6  0
Curve Equation t 122130bp1 [1,-1,1,-4253,107831] 1
122130bq (2 curves)	2	2- 3- 5+ 23+ 59-	2- 3- 5+ -2 -4  6 -6 -6
Curve Equation t Generators 122130bq1 [1,-1,1,1987,-14219] 2 [13:110:1]&[25:-238:1] 122130bq2 [1,-1,1,-8633,-111923] 2 [-65:446:1]&[367:6602:1]
122130br (2 curves)	0	2- 3- 5+ 23- 59+	2- 3- 5+  4  2  4 -6 -4
Curve Equation t 122130br1 [1,-1,1,1637572,230322687] 2 122130br2 [1,-1,1,-6841148,1885368831] 2
122130bs (1 curve)	2	2- 3- 5+ 23- 59+	2- 3- 5+ -4  1 -1 -5 -4
Curve Equation t Generators 122130bs1 [1,-1,1,-833,10577] 1 [-33:52:1]&[3:88:1]
122130bt (2 curves)	0	2- 3- 5+ 23- 59+	2- 3- 5+  5  6  5  0  2
Curve Equation t 122130bt1 [1,-1,1,27427,-4955803] 1 122130bt2 [1,-1,1,-251348,147924407] 3
122130bu (1 curve)	1	2- 3- 5+ 23- 59-	2- 3- 5+  2 -1 -2  2  6
Curve Equation t Generators 122130bu1 [1,-1,1,-19148,-1157169] 1 [173:741:1]
122130bv (4 curves)	0	2- 3- 5- 23+ 59+	2- 3- 5-  4 -4 -2  2  0
Curve Equation t 122130bv1 [1,-1,1,31828,7124271] 4 122130bv2 [1,-1,1,-418172,94964271] 4 122130bv3 [1,-1,1,-1511672,-610124529] 2 122130bv4 [1,-1,1,-6524672,6416413071] 2
122130bw (2 curves)	1	2- 3- 5- 23+ 59-	2- 3- 5- -4  2  4  2  0
Curve Equation t Generators 122130bw1 [1,-1,1,1034788,1685312799] 2 [-763:21621:1] 122130bw2 [1,-1,1,-16485692,23943330591] 2 [-4159:145449:1]
122130bx (2 curves)	1	2- 3- 5- 23- 59+	2- 3- 5-  0  2 -6  4 -2
Curve Equation t Generators 122130bx1 [1,-1,1,1633,-49341] 2 [47:336:1] 122130bx2 [1,-1,1,-14297,-552729] 2 [1438:12327:8]
122130by (4 curves)	1	2- 3- 5- 23- 59+	2- 3- 5-  0 -4  6 -6  4
Curve Equation t Generators 122130by1 [1,-1,1,-26222,-1454979] 4 [-109:369:1] 122130by2 [1,-1,1,-407102,-99874371] 4 [1799:69723:1] 122130by3 [1,-1,1,-394682,-106263219] 2 [12331475:478490463:6859] 122130by4 [1,-1,1,-6513602,-6396897171] 2 [2949:4377:1]
122130bz (1 curve)	1	2- 3- 5- 23- 59+	2- 3- 5-  1 -1 -2  0 -1
Curve Equation t Generators 122130bz1 [1,-1,1,-437,-31539] 1 [71:-576:1]
122130ca (1 curve)	1	2- 3- 5- 23- 59+	2- 3- 5- -3  2  3  4 -2
Curve Equation t Generators 122130ca1 [1,-1,1,-1214111010137,514915500877070649] 1 [636257:-447504:1]
122130cb (1 curve)	1	2- 3- 5- 23- 59+	2- 3- 5- -4 -3  3 -5  4
Curve Equation t Generators 122130cb1 [1,-1,1,-11700752,-15402956821] 1 [10887:1065781:1]

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