Cremona's table of elliptic curves

30690 = 2 · 3² · 5 · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
30690a (2 curves)	0	2+ 3+ 5+ 11+ 31-	2+ 3+ 5+  2 11+ -2  6  4
Curve Equation t 30690a1 [1,-1,0,-1650,14036] 2 30690a2 [1,-1,0,-22770,1327700] 2
30690b (2 curves)	1	2+ 3+ 5+ 11- 31-	2+ 3+ 5+  2 11-  2  2  4
Curve Equation t Generators 30690b1 [1,-1,0,-54690,4936256] 2 [82:958:1] 30690b2 [1,-1,0,-57660,4372550] 2 [71:760:1]
30690c (1 curve)	0	2+ 3+ 5- 11- 31-	2+ 3+ 5-  1 11-  5  5 -4
Curve Equation t 30690c1 [1,-1,0,-9,-115] 1
30690d (4 curves)	0	2+ 3+ 5- 11- 31-	2+ 3+ 5-  2 11-  2 -6 -4
Curve Equation t 30690d1 [1,-1,0,-2904,44460] 6 30690d2 [1,-1,0,-42834,3422538] 6 30690d3 [1,-1,0,-84579,-9443755] 2 30690d4 [1,-1,0,-96459,-6609187] 2
30690e (2 curves)	0	2+ 3+ 5- 11- 31-	2+ 3+ 5-  5 11- -1  3 -4
Curve Equation t 30690e1 [1,-1,0,-21954,1489428] 3 30690e2 [1,-1,0,157071,-9693667] 1
30690f (4 curves)	1	2+ 3- 5+ 11+ 31-	2+ 3- 5+ -2 11+ -6 -8  0
Curve Equation t Generators 30690f1 [1,-1,0,-4380075,-3526530939] 2 [137919534:-9593810967:24389] 30690f2 [1,-1,0,-3873195,-4374135675] 2 [74775630:2696362185:24389] 30690f3 [1,-1,0,-78586875,267605410581] 2 [5826:-89403:1] 30690f4 [1,-1,0,-49597695,467508998025] 2 [960:648195:1]
30690g (2 curves)	1	2+ 3- 5+ 11+ 31-	2+ 3- 5+  3 11+ -1 -3  0
Curve Equation t Generators 30690g1 [1,-1,0,-3465,-141075] 1 [381:7140:1] 30690g2 [1,-1,0,-69615,16851915] 1 [-249:4449:1]
30690h (2 curves)	1	2+ 3- 5+ 11- 31+	2+ 3- 5+ -2 11-  0  6  6
Curve Equation t Generators 30690h1 [1,-1,0,-27675,-966875] 2 [275:-3625:1] 30690h2 [1,-1,0,-384795,-91746779] 2 [-355:326:1]
30690i (4 curves)	0	2+ 3- 5+ 11- 31-	2+ 3- 5+  0 11- -2  6  0
Curve Equation t 30690i1 [1,-1,0,953460,890254800] 2 30690i2 [1,-1,0,-10117260,10940254416] 4 30690i3 [1,-1,0,-40807260,-89066179584] 2 30690i4 [1,-1,0,-156558780,754013815200] 2
30690j (1 curve)	0	2+ 3- 5+ 11- 31-	2+ 3- 5+ -3 11- -2  3  0
Curve Equation t 30690j1 [1,-1,0,-114525,-14889339] 1
30690k (1 curve)	0	2+ 3- 5+ 11- 31-	2+ 3- 5+ -3 11-  4 -1 -6
Curve Equation t 30690k1 [1,-1,0,11430,-996300] 1
30690l (1 curve)	1	2+ 3- 5- 11+ 31+	2+ 3- 5-  1 11+ -2 -3  0
Curve Equation t Generators 30690l1 [1,-1,0,-1404,-29840] 1 [101:872:1]
30690m (2 curves)	0	2+ 3- 5- 11+ 31-	2+ 3- 5-  0 11+  4 -8  6
Curve Equation t 30690m1 [1,-1,0,-23803119,44667374125] 2 30690m2 [1,-1,0,-18204399,66219086893] 2
30690n (2 curves)	2	2+ 3- 5- 11+ 31-	2+ 3- 5- -2 11+ -4 -2 -6
Curve Equation t Generators 30690n1 [1,-1,0,-4239,-102627] 2 [-38:69:1]&[-274:447:8] 30690n2 [1,-1,0,-9819,228825] 2 [-99:522:1]&[-84:717:1]
30690o (2 curves)	2	2+ 3- 5- 11+ 31-	2+ 3- 5- -4 11+ -2 -6 -2
Curve Equation t Generators 30690o1 [1,-1,0,-114,6020] 2 [11:-83:1]&[-11:82:1] 30690o2 [1,-1,0,-5694,165608] 2 [-28:564:1]&[22:214:1]
30690p (4 curves)	0	2+ 3- 5- 11- 31+	2+ 3- 5- -4 11- -6 -2 -4
Curve Equation t 30690p1 [1,-1,0,-108369279,-434190475715] 2 30690p2 [1,-1,0,-108369459,-434188961087] 4 30690p3 [1,-1,0,-106207209,-452347104137] 2 30690p4 [1,-1,0,-110534589,-415933884005] 2
30690q (4 curves)	1	2+ 3- 5- 11- 31-	2+ 3- 5-  0 11- -2 -2  0
Curve Equation t Generators 30690q1 [1,-1,0,-203229,24674053] 2 [-223:7784:1] 30690q2 [1,-1,0,-2970909,1971460165] 4 [914:-4813:1] 30690q3 [1,-1,0,-2691909,2356424365] 2 [479:34064:1] 30690q4 [1,-1,0,-47532789,126147594973] 2 [3983:-1744:1]
30690r (2 curves)	1	2+ 3- 5- 11- 31-	2+ 3- 5-  0 11-  4  0  6
Curve Equation t Generators 30690r1 [1,-1,0,-7704,260928] 2 [-48:744:1] 30690r2 [1,-1,0,-3384,548640] 2 [111:-1293:1]
30690s (1 curve)	1	2+ 3- 5- 11- 31-	2+ 3- 5-  1 11- -4 -1  2
Curve Equation t Generators 30690s1 [1,-1,0,-114,998] 1 [7:-26:1]
30690t (4 curves)	1	2+ 3- 5- 11- 31-	2+ 3- 5-  2 11-  2  0 -4
Curve Equation t Generators 30690t1 [1,-1,0,-436869,-43491627] 2 [6114204978:297944682855:2352637] 30690t2 [1,-1,0,1590651,-334237995] 2 [70122654:7107505713:6859] 30690t3 [1,-1,0,-18788229,31349091285] 6 [-1481:237224:1] 30690t4 [1,-1,0,-17829909,34689219813] 6 [-4398:169599:1]
30690u (1 curve)	1	2- 3+ 5+ 11+ 31-	2- 3+ 5+  1 11+  5 -5 -4
Curve Equation t Generators 30690u1 [1,-1,1,-83,3187] 1 [7:-58:1]
30690v (4 curves)	1	2- 3+ 5+ 11+ 31-	2- 3+ 5+  2 11+  2  6 -4
Curve Equation t Generators 30690v1 [1,-1,1,-9398,352901] 6 [-93:691:1] 30690v2 [1,-1,1,-10718,248357] 6 [-11845:85539:125] 30690v3 [1,-1,1,-26138,-1174283] 2 [-52086727:-229558463:456533] 30690v4 [1,-1,1,-385508,-92023019] 2 [-952261140198060:214740169233913:2662500456000]
30690w (2 curves)	1	2- 3+ 5+ 11+ 31-	2- 3+ 5+  5 11+ -1 -3 -4
Curve Equation t Generators 30690w1 [1,-1,1,17452,353207] 3 [177:2905:1] 30690w2 [1,-1,1,-197588,-40016969] 1 [541:3077:1]
30690x (2 curves)	0	2- 3+ 5- 11+ 31-	2- 3+ 5-  2 11+  2 -2  4
Curve Equation t 30690x1 [1,-1,1,-6077,-180799] 2 30690x2 [1,-1,1,-6407,-159811] 2
30690y (2 curves)	1	2- 3+ 5- 11- 31-	2- 3+ 5-  2 11- -2 -6  4
Curve Equation t Generators 30690y1 [1,-1,1,-14852,-364121] 2 [-83:581:1] 30690y2 [1,-1,1,-204932,-35642969] 2 [-259:229:1]
30690z (4 curves)	1	2- 3- 5+ 11+ 31+	2- 3- 5+  0 11+ -2 -2  8
Curve Equation t Generators 30690z1 [1,-1,1,-348188,79167327] 2 [317:597:1] 30690z2 [1,-1,1,-348908,78824031] 4 [-565:10047:1] 30690z3 [1,-1,1,-109328,185005887] 2 [-175161:-3468291:343] 30690z4 [1,-1,1,-600008,-49337409] 2 [-619:9507:1]
30690ba (1 curve)	0	2- 3- 5+ 11+ 31-	2- 3- 5+  1 11+  7  5  0
Curve Equation t 30690ba1 [1,-1,1,-563738,4398664281] 1
30690bb (2 curves)	0	2- 3- 5+ 11+ 31-	2- 3- 5+  2 11+ -6  4  4
Curve Equation t 30690bb1 [1,-1,1,-653,-5083] 2 30690bb2 [1,-1,1,1327,-31219] 2
30690bc (4 curves)	0	2- 3- 5+ 11- 31+	2- 3- 5+  0 11- -2 -2  4
Curve Equation t 30690bc1 [1,-1,1,-25943,-1601809] 2 30690bc2 [1,-1,1,-26663,-1507633] 4 30690bc3 [1,-1,1,34717,-7473769] 2 30690bc4 [1,-1,1,-99563,10477127] 2
30690bd (4 curves)	0	2- 3- 5+ 11- 31+	2- 3- 5+  0 11- -2 -2 -4
Curve Equation t 30690bd1 [1,-1,1,-620334428,-5933792291169] 2 30690bd2 [1,-1,1,-859213148,-942946969953] 4 30690bd3 [1,-1,1,3418727332,-7527552956769] 2 30690bd4 [1,-1,1,-8959213148,325052893030047] 2
30690be (1 curve)	0	2- 3- 5+ 11- 31+	2- 3- 5+  3 11- -2  7  8
Curve Equation t 30690be1 [1,-1,1,-1378778,635841987] 1
30690bf (1 curve)	0	2- 3- 5+ 11- 31+	2- 3- 5+  3 11-  4  7 -2
Curve Equation t 30690bf1 [1,-1,1,-4956863,5711677031] 1
30690bg (2 curves)	1	2- 3- 5+ 11- 31-	2- 3- 5+  0 11-  4 -4  6
Curve Equation t Generators 30690bg1 [1,-1,1,-248,-709] 2 [-9:31:1] 30690bg2 [1,-1,1,832,-5893] 2 [15:91:1]
30690bh (2 curves)	1	2- 3- 5+ 11- 31-	2- 3- 5+  2 11- -4 -2 -4
Curve Equation t Generators 30690bh1 [1,-1,1,-1148,31551] 2 [-7:201:1] 30690bh2 [1,-1,1,-23468,1388607] 2 [-37:1503:1]
30690bi (1 curve)	1	2- 3- 5+ 11- 31-	2- 3- 5+ -3 11- -5 -7  0
Curve Equation t Generators 30690bi1 [1,-1,1,-1552388,749695871] 1 [111:24001:1]
30690bj (2 curves)	1	2- 3- 5- 11+ 31-	2- 3- 5-  0 11+ -2 -2 -6
Curve Equation t Generators 30690bj1 [1,-1,1,5278,-614559] 2 [189:2571:1] 30690bj2 [1,-1,1,-84002,-8685471] 2 [-163:891:1]
30690bk (2 curves)	1	2- 3- 5- 11+ 31-	2- 3- 5- -1 11+ -1  3  8
Curve Equation t Generators 30690bk1 [1,-1,1,-27257,-1725361] 1 [1566:4343:8] 30690bk2 [1,-1,1,958,-5091559] 3 [171:139:1]
30690bl (2 curves)	1	2- 3- 5- 11+ 31-	2- 3- 5- -2 11+ -2 -4  0
Curve Equation t Generators 30690bl1 [1,-1,1,-1652,8151] 2 [71:-531:1] 30690bl2 [1,-1,1,6268,58839] 2 [47:-699:1]
30690bm (1 curve)	1	2- 3- 5- 11+ 31-	2- 3- 5-  3 11+  2 -7 -4
Curve Equation t Generators 30690bm1 [1,-1,1,-5252,1021479] 1 [317:-5739:1]
30690bn (1 curve)	1	2- 3- 5- 11+ 31-	2- 3- 5-  3 11+ -2  1  0
Curve Equation t Generators 30690bn1 [1,-1,1,85545553,-373511642529] 1 [15186619524340723:-8106458277629933628:53454818663]
30690bo (2 curves)	1	2- 3- 5- 11+ 31-	2- 3- 5-  4 11+ -6 -2 -2
Curve Equation t Generators 30690bo1 [1,-1,1,-1522877,725064581] 2 [559:6664:1] 30690bo2 [1,-1,1,-24378557,46335859589] 2 [2847:-1064:1]
30690bp (2 curves)	1	2- 3- 5- 11+ 31-	2- 3- 5- -4 11+ -4  4  4
Curve Equation t Generators 30690bp1 [1,-1,1,463,4961] 2 [9:-104:1] 30690bp2 [1,-1,1,-3137,52481] 2 [-51:304:1]
30690bq (2 curves)	1	2- 3- 5- 11- 31+	2- 3- 5-  0 11- -2 -2  2
Curve Equation t Generators 30690bq1 [1,-1,1,-92912,11849811] 2 [141:-1311:1] 30690bq2 [1,-1,1,-1521392,722661459] 2 [677:1281:1]
30690br (4 curves)	1	2- 3- 5- 11- 31+	2- 3- 5-  0 11- -2 -2 -4
Curve Equation t Generators 30690br1 [1,-1,1,-177872,-27640029] 4 [-219:989:1] 30690br2 [1,-1,1,-2813252,-1815481821] 4 [25726:1184043:8] 30690br3 [1,-1,1,-2780582,-1859730069] 2 [56492566:2602338279:17576] 30690br4 [1,-1,1,-45012002,-116224732821] 2 [-544609884:272237003:140608]
30690bs (4 curves)	1	2- 3- 5- 11- 31+	2- 3- 5- -4 11-  2 -2  4
Curve Equation t Generators 30690bs1 [1,-1,1,-13622,-520891] 2 [-51:223:1] 30690bs2 [1,-1,1,-59702,5119301] 4 [-81:3109:1] 30690bs3 [1,-1,1,74218,24725189] 2 [789:23563:1] 30690bs4 [1,-1,1,-930902,345932741] 2 [579:-1181:1]
30690bt (2 curves)	1	2- 3- 5- 11- 31+	2- 3- 5- -4 11- -6  6 -6
Curve Equation t Generators 30690bt1 [1,-1,1,463,-10159] 2 [182:773:8] 30690bt2 [1,-1,1,-5117,-123991] 2 [-33:106:1]
30690bu (4 curves)	0	2- 3- 5- 11- 31-	2- 3- 5-  2 11- -4 -6  2
Curve Equation t 30690bu1 [1,-1,1,-1372397,503571269] 2 30690bu2 [1,-1,1,-6734777,-6272332099] 2 30690bu3 [1,-1,1,-105290132,415869530231] 6 30690bu4 [1,-1,1,-105379412,415129006199] 6

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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