Cremona's table of elliptic curves

30345 = 3 · 5 · 7 · 17²

Class	r	Atkin-Lehner	Eigenvalues
30345a (2 curves)	1	3+ 5+ 7+ 17+	1 3+ 5+ 7+  0  4 17+  2
Curve Equation t Generators 30345a1 [1,1,0,33505932,-189536694237] 2 [51376354562449408700739282:939588631070313925298934483:12962463389109423175384] 30345a2 [1,1,0,-361520943,-2343460232862] 2 [15488150344401704997669652150863446511473358462:-16550944961815408570074193399219357995871581128347:13571842036097283574395335901890657693544]
30345b (4 curves)	1	3+ 5+ 7+ 17+	1 3+ 5+ 7+  0 -6 17+ -8
Curve Equation t Generators 30345b1 [1,1,0,-728,6867] 2 [82:671:1] 30345b2 [1,1,0,-2173,-30992] 4 [-32:100:1] 30345b3 [1,1,0,5052,-185607] 2 [2558:45539:8] 30345b4 [1,1,0,-32518,-2270453] 2 [-834:511:8]
30345c (6 curves)	1	3+ 5+ 7+ 17+	-1 3+ 5+ 7+  4 -2 17+ -4
Curve Equation t Generators 30345c1 [1,1,1,-1128551,460985348] 4 [4326:22109:8] 30345c2 [1,1,1,-1129996,459743804] 4 [-509:30310:1] 30345c3 [1,1,1,-515871,958167654] 2 [1742:233215:8] 30345c4 [1,1,1,-1767241,-118109962] 4 [-4954:219989:8] 30345c5 [1,1,1,7002464,-931938586] 2 [2123588122:-153521196189:830584] 30345c6 [1,1,1,-20732866,-36274177462] 2 [-14295236426:2129121333:5639752]
30345d (1 curve)	0	3+ 5+ 7+ 17-	1 3+ 5+ 7+ -1 -1 17-  0
Curve Equation t 30345d1 [1,1,0,-166083248,-823898033163] 1
30345e (1 curve)	0	3+ 5+ 7- 17+	0 3+ 5+ 7-  6  5 17+  0
Curve Equation t 30345e1 [0,-1,1,232549,34932476] 1
30345f (2 curves)	0	3+ 5+ 7- 17+	-1 3+ 5+ 7- -2 -4 17+  4
Curve Equation t 30345f1 [1,1,1,111259,-114132166] 2 30345f2 [1,1,1,-2959366,-1875442666] 2
30345g (6 curves)	0	3+ 5+ 7- 17+	-1 3+ 5+ 7- -4  6 17+ -4
Curve Equation t 30345g1 [1,1,1,10109,972488] 2 30345g2 [1,1,1,-106936,11834264] 4 30345g3 [1,1,1,-432061,-97277686] 4 30345g4 [1,1,1,-1654531,818440778] 2 30345g5 [1,1,1,630014,-499166866] 2 30345g6 [1,1,1,-6696136,-6672050806] 2
30345h (1 curve)	1	3+ 5+ 7- 17-	2 3+ 5+ 7-  3  4 17- -3
Curve Equation t Generators 30345h1 [0,-1,1,-3034596,1950545567] 1 [4260:2676397:64]
30345i (2 curves)	0	3+ 5- 7+ 17+	0 3+ 5- 7+  6 -1 17+  2
Curve Equation t 30345i1 [0,-1,1,-40845,-4121539] 1 30345i2 [0,-1,1,-3578205,-2604036922] 1
30345j (4 curves)	0	3+ 5- 7+ 17+	1 3+ 5- 7+  0 -2 17+ -4
Curve Equation t 30345j1 [1,1,0,82793,1328464] 2 30345j2 [1,1,0,-334812,10265211] 4 30345j3 [1,1,0,-3405437,-2408773164] 2 30345j4 [1,1,0,-3945867,3009607494] 4
30345k (2 curves)	0	3+ 5- 7+ 17+	1 3+ 5- 7+  2 -4 17+  0
Curve Equation t 30345k1 [1,1,0,-252,-1701] 2 30345k2 [1,1,0,-4077,-101916] 2
30345l (1 curve)	0	3+ 5- 7+ 17+	1 3+ 5- 7+  3  7 17+  8
Curve Equation t 30345l1 [1,1,0,88,-171] 1
30345m (4 curves)	0	3+ 5- 7+ 17+	-1 3+ 5- 7+  0 -6 17+  4
Curve Equation t 30345m1 [1,1,1,4040,167912] 4 30345m2 [1,1,1,-32085,1800762] 4 30345m3 [1,1,1,-154910,-21879898] 2 30345m4 [1,1,1,-487260,130706322] 2
30345n (1 curve)	0	3+ 5- 7+ 17+	2 3+ 5- 7+ -3  0 17+  1
Curve Equation t 30345n1 [0,-1,1,-172916310,801842354381] 1
30345o (1 curve)	1	3+ 5- 7+ 17-	-2 3+ 5- 7+ -3 -6 17- -1
Curve Equation t Generators 30345o1 [0,-1,1,-76970,8225408] 1 [482:9103:1]
30345p (4 curves)	1	3+ 5- 7- 17+	1 3+ 5- 7-  0  6 17+  4
Curve Equation t Generators 30345p1 [1,1,0,11988,-5528061] 2 [28745686450:821263054711:34328125] 30345p2 [1,1,0,-405617,-95981304] 4 [1948680674:53346244163:1643032] 30345p3 [1,1,0,-1068872,297063609] 4 [-632:27161:1] 30345p4 [1,1,0,-6424042,-6269681669] 2 [98508928796050:-4156520796940853:25672375000]
30345q (2 curves)	1	3+ 5- 7- 17+	-1 3+ 5- 7- -2  2 17+ -2
Curve Equation t Generators 30345q1 [1,1,1,258446625,-6603697742508] 2 [66722:-17574189:1] 30345q2 [1,1,1,-4093169430,-93611649792600] 2 [-34032:-2487672:1]
30345r (2 curves)	1	3+ 5- 7- 17+	-1 3+ 5- 7- -2  2 17+ -2
Curve Equation t Generators 30345r1 [1,1,1,45,-48] 2 [2:6:1] 30345r2 [1,1,1,-210,-660] 2 [-12:23:1]
30345s (4 curves)	0	3- 5+ 7+ 17+	1 3- 5+ 7+ -4 -2 17+  0
Curve Equation t 30345s1 [1,0,1,-10844,-435403] 2 30345s2 [1,0,1,-12289,-312289] 4 30345s3 [1,0,1,38286,-2213909] 2 30345s4 [1,0,1,-85984,9474407] 2
30345t (2 curves)	0	3- 5+ 7+ 17+	-1 3- 5+ 7+  2  2 17+ -2
Curve Equation t 30345t1 [1,0,0,894279,-1344074760] 2 30345t2 [1,0,0,-14163216,-19054700379] 2
30345u (2 curves)	0	3- 5+ 7+ 17+	-1 3- 5+ 7+  2  2 17+ -2
Curve Equation t 30345u1 [1,0,0,12999,-325944] 2 30345u2 [1,0,0,-60696,-2816835] 2
30345v (4 curves)	0	3- 5+ 7+ 17+	-1 3- 5+ 7+ -4  2 17+  8
Curve Equation t 30345v1 [1,0,0,-96821,-11603880] 2 30345v2 [1,0,0,-98266,-11240029] 4 30345v3 [1,0,0,73689,-46353240] 2 30345v4 [1,0,0,-293341,47165426] 2
30345w (1 curve)	1	3- 5+ 7- 17+	0 3- 5+ 7-  2  3 17+ -2
Curve Equation t Generators 30345w1 [0,1,1,-10211,583745] 1 [181:2167:1]
30345x (2 curves)	1	3- 5+ 7- 17+	1 3- 5+ 7-  0  0 17+  2
Curve Equation t Generators 30345x1 [1,0,1,-729,-39473] 2 [71868:51347:1728] 30345x2 [1,0,1,-22404,-1287953] 2 [12762300:1090194673:1728]
30345y (2 curves)	1	3- 5+ 7- 17+	1 3- 5+ 7- -2 -4 17+  0
Curve Equation t Generators 30345y1 [1,0,1,-72979,-7846519] 2 [13439074:458745389:10648] 30345y2 [1,0,1,-1178404,-492464839] 2 [85317929077150:1839702598537427:57066625000]
30345z (1 curve)	1	3- 5+ 7- 17+	-2 3- 5+ 7-  3 -6 17+ -1
Curve Equation t Generators 30345z1 [0,1,1,-266,1580] 1 [7:-11:1]
30345ba (1 curve)	0	3- 5+ 7- 17-	1 3- 5+ 7- -3  7 17-  8
Curve Equation t 30345ba1 [1,0,1,25281,-1017449] 1
30345bb (1 curve)	0	3- 5+ 7- 17-	2 3- 5+ 7-  3  0 17-  1
Curve Equation t 30345bb1 [0,1,1,-598326,162997121] 1
30345bc (1 curve)	1	3- 5- 7+ 17+	0 3- 5- 7+ -2 -5 17+  2
Curve Equation t Generators 30345bc1 [0,1,1,-1375597035,19640181457964] 1 [40896:5637667:1]
30345bd (1 curve)	1	3- 5- 7+ 17+	0 3- 5- 7+ -6  5 17+  0
Curve Equation t Generators 30345bd1 [0,1,1,805,7394] 1 [28:229:1]
30345be (4 curves)	1	3- 5- 7+ 17+	1 3- 5- 7+  4  2 17+ -4
Curve Equation t Generators 30345be1 [1,0,1,9097,-442339] 2 [3153423:-27614059:59319] 30345be2 [1,0,1,-61708,-4520707] 4 [38646:2663171:8] 30345be3 [1,0,1,-334813,70747031] 2 [585:8377:1] 30345be4 [1,0,1,-921483,-340520777] 2 [1051602:71300417:216]
30345bf (4 curves)	1	3- 5- 7+ 17+	-1 3- 5- 7+  0 -2 17+  0
Curve Equation t Generators 30345bf1 [1,0,0,-52315,-10471000] 4 [1385:50045:1] 30345bf2 [1,0,0,-1105720,-447212713] 4 [-601:878:1] 30345bf3 [1,0,0,-1378825,-209447500] 2 [1775:53300:1] 30345bf4 [1,0,0,-17687095,-28632233938] 2 [6314:330638:1]
30345bg (2 curves)	1	3- 5- 7+ 17+	-1 3- 5- 7+  2 -4 17+  4
Curve Equation t Generators 30345bg1 [1,0,0,385,-23208] 2 [49:313:1] 30345bg2 [1,0,0,-10240,-382333] 2 [-61:158:1]
30345bh (1 curve)	1	3- 5- 7+ 17+	2 3- 5- 7+ -3  4 17+ -3
Curve Equation t Generators 30345bh1 [0,1,1,-10500,393311] 1 [-486:7199:8]
30345bi (1 curve)	0	3- 5- 7- 17+	1 3- 5- 7-  1 -1 17+  0
Curve Equation t 30345bi1 [1,0,1,-574683,-167731349] 1
30345bj (2 curves)	0	3- 5- 7- 17+	1 3- 5- 7-  4 -4 17+  6
Curve Equation t 30345bj1 [1,0,1,22102,-2080969] 2 30345bj2 [1,0,1,-172973,-22602859] 2

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