Cremona's table of elliptic curves

121380 = 2² · 3 · 5 · 7 · 17²

Class	r	Atkin-Lehner	Eigenvalues
121380a (4 curves)	2	2- 3+ 5+ 7+ 17+	2- 3+ 5+ 7+  0 -4 17+ -4
Curve Equation t Generators 121380a1 [0,-1,0,-186501,29948310] 2 [-415:5975:1]&[-249:7803:1] 121380a2 [0,-1,0,86604,110022696] 2 [-130:9826:1]&[110:10994:1] 121380a3 [0,-1,0,-2267301,-1304416710] 2 [22514:3370318:1]&[-1794598:3044326:2197] 121380a4 [0,-1,0,-780396,-2991756504] 2 [1961:54910:1]&[749764210:-154817634431:17576]
121380b (2 curves)	0	2- 3+ 5+ 7+ 17+	2- 3+ 5+ 7+  0  6 17+  6
Curve Equation t 121380b1 [0,-1,0,-1541,-285714] 2 121380b2 [0,-1,0,-75236,-7861560] 2
121380c (2 curves)	0	2- 3+ 5+ 7+ 17+	2- 3+ 5+ 7+  2  2 17+  0
Curve Equation t 121380c1 [0,-1,0,-10035621,-12233350530] 2 121380c2 [0,-1,0,-10109316,-12044484984] 2
121380d (2 curves)	0	2- 3+ 5+ 7+ 17+	2- 3+ 5+ 7+  2 -2 17+  0
Curve Equation t 121380d1 [0,-1,0,-4735361,3872343186] 2 121380d2 [0,-1,0,999844,12651795000] 2
121380e (1 curve)	0	2- 3+ 5+ 7+ 17+	2- 3+ 5+ 7+  2 -7 17+  0
Curve Equation t 121380e1 [0,-1,0,-87221,-14391855] 1
121380f (2 curves)	0	2- 3+ 5+ 7+ 17+	2- 3+ 5+ 7+ -6  2 17+ -8
Curve Equation t 121380f1 [0,-1,0,-13781,422370] 2 121380f2 [0,-1,0,-199676,34403976] 2
121380g (2 curves)	1	2- 3+ 5+ 7- 17+	2- 3+ 5+ 7-  0 -6 17+ -2
Curve Equation t Generators 121380g1 [0,-1,0,-122921,737346] 2 [-11:1445:1] 121380g2 [0,-1,0,491204,5404696] 2 [6:2890:1]
121380h (2 curves)	1	2- 3+ 5+ 7- 17+	2- 3+ 5+ 7-  2  0 17+ -2
Curve Equation t Generators 121380h1 [0,-1,0,-752941,-214111034] 2 [-487:6069:1] 121380h2 [0,-1,0,1335084,-1192141944] 2 [2370:123606:1]
121380i (2 curves)	1	2- 3+ 5+ 7- 17+	2- 3+ 5+ 7- -2  4 17+ -2
Curve Equation t Generators 121380i1 [0,-1,0,-1541,9066] 2 [1578:21675:8] 121380i2 [0,-1,0,5684,63976] 2 [2405:53046:125]
121380j (2 curves)	1	2- 3+ 5+ 7- 17+	2- 3+ 5+ 7- -2 -6 17+  8
Curve Equation t Generators 121380j1 [0,-1,0,-515282761,908531852266] 2 [214280:426207663:512] 121380j2 [0,-1,0,2013942644,7188092687800] 2 [1893:3317720:1]
121380k (4 curves)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+  0  2 17+  2
Curve Equation t Generators 121380k1 [0,-1,0,120995,7743862] 2 [63055:1753941:125] 121380k2 [0,-1,0,-542260,65845000] 2 [2250:101150:1] 121380k3 [0,-1,0,-1335565,-722648150] 2 [5848418577520:143474410125501:3511808000] 121380k4 [0,-1,0,-22633420,-41435627768] 2 [45868071:2235415000:6859]
121380l (2 curves)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+  0  2 17+  8
Curve Equation t Generators 121380l1 [0,-1,0,210,-63] 1 [24:135:1] 121380l2 [0,-1,0,-2850,-61875] 1 [75:375:1]
121380m (4 curves)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+  0 -4 17+ -4
Curve Equation t Generators 121380m1 [0,-1,0,-45887805,-62375033178] 2 [-1711:105485:1] 121380m2 [0,-1,0,153205740,-458889737400] 2 [136070:50395550:1] 121380m3 [0,-1,0,-3197675565,-69597388794150] 2 [-1694342514790:-220215760250:51895117] 121380m4 [0,-1,0,-3184293420,-70208797587768] 2 [4672735572571719238:-1588486803991018796875:33008200538552]
121380n (2 curves)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+  4  0 17+ -4
Curve Equation t Generators 121380n1 [0,-1,0,-6165,36810] 2 [1098:10605:8] 121380n2 [0,-1,0,24180,267432] 2 [91010:1792649:1000]
121380o (4 curves)	1	2- 3+ 5- 7+ 17+	2- 3+ 5- 7+ -6 -4 17+  2
Curve Equation t Generators 121380o1 [0,-1,0,-17725,911902] 2 [57:289:1] 121380o2 [0,-1,0,-10500,1654632] 2 [42:1134:1] 121380o3 [0,-1,0,-87085,-9107150] 2 [-198:578:1] 121380o4 [0,-1,0,93540,-42125400] 2 [4377:290178:1]
121380p (1 curve)	2	2- 3+ 5- 7+ 17-	2- 3+ 5- 7+  3 -6 17- -3
Curve Equation t Generators 121380p1 [0,-1,0,-17725,-453623] 1 [499:-10710:1]&[-113:306:1]
121380q (1 curve)	0	2- 3+ 5- 7+ 17-	2- 3+ 5- 7+  4 -4 17- -4
Curve Equation t 121380q1 [0,-1,0,-4203890,3424670337] 1
121380r (2 curves)	0	2- 3+ 5- 7- 17+	2- 3+ 5- 7-  2 -2 17+  4
Curve Equation t 121380r1 [0,-1,0,-19704405,-32482967850] 2 121380r2 [0,-1,0,-312199860,-2123123482008] 2
121380s (1 curve)	1	2- 3+ 5- 7- 17-	2- 3+ 5- 7- -1  6 17- -3
Curve Equation t Generators 121380s1 [0,-1,0,-120126125,506802199977] 1 [50602:405:8]
121380t (1 curve)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  1  6 17+ -3
Curve Equation t Generators 121380t1 [0,1,0,-415661,103008639] 1 [370:63:1]
121380u (2 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  2  4 17+  2
Curve Equation t Generators 121380u1 [0,1,0,-163381,25363400] 2 [164:1734:1] 121380u2 [0,1,0,-156156,27715860] 2 [291:2646:1]
121380v (2 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+ -2  0 17+ -6
Curve Equation t Generators 121380v1 [0,1,0,-1071625101,-13502320470360] 2 [-228913572:-96970482:12167] 121380v2 [0,1,0,-1019424476,-14876783806860] 2 [54709929186682:-70021654594338483:33386248]
121380w (2 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+ -2 -2 17+  4
Curve Equation t Generators 121380w1 [0,1,0,-68181,-6635700] 2 [-159:459:1] 121380w2 [0,1,0,-1080276,-432525276] 2 [-600:18:1]
121380x (1 curve)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+ -2 -5 17+ -6
Curve Equation t Generators 121380x1 [0,1,0,-24661,1507895] 1 [-91:1734:1]
121380y (2 curves)	1	2- 3- 5+ 7+ 17+	2- 3- 5+ 7+  4 -2 17+  6
Curve Equation t Generators 121380y1 [0,1,0,-3833681,1803897144] 2 [16614332523:2825807139375:571787] 121380y2 [0,1,0,11519444,12649344644] 2 [116104:39578550:1]
121380z (1 curve)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7-  2  1 17+  6
Curve Equation t 121380z1 [0,1,0,-510181,-626338825] 1
121380ba (1 curve)	0	2- 3- 5+ 7- 17+	2- 3- 5+ 7- -3 -6 17+ -3
Curve Equation t 121380ba1 [0,1,0,-5122621,-2259385345] 1
121380bb (1 curve)	2	2- 3- 5+ 7- 17+	2- 3- 5+ 7- -4 -4 17+ -4
Curve Equation t Generators 121380bb1 [0,1,0,-14546,691929] 1 [364:6615:1]&[-126:735:1]
121380bc (2 curves)	1	2- 3- 5+ 7- 17-	2- 3- 5+ 7-  0  2 17-  8
Curve Equation t Generators 121380bc1 [0,1,0,60594,54225] 3 [12:885:1] 121380bc2 [0,1,0,-823746,-308934171] 1 [4778886:163304625:2744]
121380bd (2 curves)	0	2- 3- 5- 7+ 17+	2- 3- 5- 7+ -2  6 17+  0
Curve Equation t 121380bd1 [0,1,0,-162225,-16272252] 2 121380bd2 [0,1,0,475020,-112113900] 2
121380be (2 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7- -2  2 17+  0
Curve Equation t Generators 121380be1 [0,1,0,-34725,-2502252] 2 [351:5355:1] 121380be2 [0,1,0,-34980,-2463900] 2 [-100:210:1]
121380bf (2 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7- -2 -2 17+  0
Curve Equation t Generators 121380bf1 [0,1,0,-2323945,-1362807640] 2 [-877:1239:1] 121380bf2 [0,1,0,-1686700,-2125972252] 2 [5192:359310:1]
121380bg (2 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7- -2  4 17+  6
Curve Equation t Generators 121380bg1 [0,1,0,-1173725,325027500] 2 [-125:21675:1] 121380bg2 [0,1,0,3341900,2225202500] 2 [1100:-85050:1]
121380bh (1 curve)	1	2- 3- 5- 7- 17+	2- 3- 5- 7- -2 -7 17+  0
Curve Equation t Generators 121380bh1 [0,1,0,-25206965,-70858425225] 1 [52405:11938590:1]
121380bi (2 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7-  4 -2 17+ -6
Curve Equation t Generators 121380bi1 [0,1,0,281664795,1391592575340] 2 [6879:1911735:1] 121380bi2 [0,1,0,-1443461460,12490364849508] 2 [-279720:495436746:125]
121380bj (2 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7- -4 -2 17+ -6
Curve Equation t Generators 121380bj1 [0,1,0,40075,12474000] 2 [640:17340:1] 121380bj2 [0,1,0,-623180,175369428] 2 [691:-8670:1]
121380bk (2 curves)	1	2- 3- 5- 7- 17+	2- 3- 5- 7-  6  2 17+ -8
Curve Equation t Generators 121380bk1 [0,1,0,-3982805,2051207160] 2 [-68924:4567185:64] 121380bk2 [0,1,0,-57706460,168680495508] 2 [4291:9450:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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