Cremona's table of elliptic curves

23400 = 2³ · 3² · 5² · 13

Class	r	Atkin-Lehner	Eigenvalues
23400a (2 curves)	1	2+ 3+ 5+ 13+	2+ 3+ 5+  0  0 13+ -6 -8
Curve Equation t Generators 23400a1 [0,0,0,-6075,519750] 2 [-65:800:1] 23400a2 [0,0,0,-141075,20364750] 2 [610:12700:1]
23400b (1 curve)	1	2+ 3+ 5+ 13+	2+ 3+ 5+  3 -3 13+ -3  4
Curve Equation t Generators 23400b1 [0,0,0,375300,-2297551500] 1 [1254:12042:1]
23400c (2 curves)	0	2+ 3+ 5+ 13-	2+ 3+ 5+ -2  4 13-  0 -2
Curve Equation t 23400c1 [0,0,0,2025,-33750] 2 23400c2 [0,0,0,-11475,-317250] 2
23400d (2 curves)	0	2+ 3+ 5+ 13-	2+ 3+ 5+ -2 -4 13-  8 -2
Curve Equation t 23400d1 [0,0,0,-7575,-14649750] 2 23400d2 [0,0,0,-945075,-349337250] 2
23400e (1 curve)	2	2+ 3+ 5+ 13-	2+ 3+ 5+ -3 -5 13- -3 -8
Curve Equation t Generators 23400e1 [0,0,0,-300,4500] 1 [60:-450:1]&[-6:78:1]
23400f (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+  0  2 13+ -2  8
Curve Equation t 23400f1 [0,0,0,-7500,-87500] 1
23400g (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  0 -4 13+ -2 -4
Curve Equation t 23400g1 [0,0,0,18825,-701750] 2 23400g2 [0,0,0,-93675,-6214250] 4 23400g3 [0,0,0,-678675,210820750] 2 23400g4 [0,0,0,-1308675,-576049250] 2
23400h (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+  1  5 13+  3 -6
Curve Equation t 23400h1 [0,0,0,2186700,-819029500] 1
23400i (2 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  2  0 13+ -4  6
Curve Equation t 23400i1 [0,0,0,-75,-162250] 2 23400i2 [0,0,0,-45075,-3627250] 2
23400j (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+  3 -1 13+ -5 -4
Curve Equation t 23400j1 [0,0,0,2445,117790] 1
23400k (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  4 -4 13+ -6  0
Curve Equation t 23400k1 [0,0,0,-25050,-1522375] 2 23400k2 [0,0,0,-35175,-175750] 4 23400k3 [0,0,0,140325,-1404250] 2 23400k4 [0,0,0,-372675,87236750] 2
23400l (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+ -4  0 13+  2  0
Curve Equation t 23400l1 [0,0,0,-516450,120436625] 2 23400l2 [0,0,0,-7897575,8542300250] 4 23400l3 [0,0,0,-7533075,9366434750] 2 23400l4 [0,0,0,-126360075,546717437750] 2
23400m (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+ -4  0 13+  2  8
Curve Equation t 23400m1 [0,0,0,-8850,-320375] 2 23400m2 [0,0,0,-9975,-233750] 4 23400m3 [0,0,0,30525,-1651250] 2 23400m4 [0,0,0,-68475,6727750] 2
23400n (4 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  0  0 13-  2  0
Curve Equation t Generators 23400n1 [0,0,0,-1097175,-442345750] 2 [664044164435:2840594761600:545338513] 23400n2 [0,0,0,-1101675,-438534250] 4 [-2457584:10419201:4096] 23400n3 [0,0,0,-48675,-1241973250] 2 [90727328944:-5047574458059:28094464] 23400n4 [0,0,0,-2226675,608840750] 2 [-1166:40248:1]
23400o (4 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  0  4 13- -6  4
Curve Equation t Generators 23400o1 [0,0,0,-5175,-141750] 2 [3585:33200:27] 23400o2 [0,0,0,-9675,141750] 4 [-66:702:1] 23400o3 [0,0,0,35325,1086750] 2 [3810:89775:8] 23400o4 [0,0,0,-126675,17340750] 2 [534:10098:1]
23400p (2 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  0 -6 13-  2  0
Curve Equation t Generators 23400p1 [0,0,0,-750,16625] 2 [4:117:1] 23400p2 [0,0,0,-15375,733250] 2 [-5:900:1]
23400q (1 curve)	1	2+ 3- 5+ 13-	2+ 3- 5+ -2  2 13-  2  4
Curve Equation t Generators 23400q1 [0,0,0,-900,-9180] 1 [-14:26:1]
23400r (2 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+ -2 -4 13-  0  2
Curve Equation t Generators 23400r1 [0,0,0,161925,26527750] 2 [-1995:101600:27] 23400r2 [0,0,0,-963075,254902750] 2 [230:6750:1]
23400s (1 curve)	1	2+ 3- 5+ 13-	2+ 3- 5+  3  3 13- -1 -6
Curve Equation t Generators 23400s1 [0,0,0,-23700,-2153500] 1 [190:450:1]
23400t (2 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  4  2 13- -6 -4
Curve Equation t Generators 23400t1 [0,0,0,-750,3625] 2 [-4:81:1] 23400t2 [0,0,0,2625,27250] 2 [71:756:1]
23400u (1 curve)	0	2+ 3- 5- 13-	2+ 3- 5-  0  4 13- -8  5
Curve Equation t 23400u1 [0,0,0,-1875,-41650] 1
23400v (1 curve)	0	2+ 3- 5- 13-	2+ 3- 5- -1 -3 13- -7  0
Curve Equation t 23400v1 [0,0,0,-1375500,-622487500] 1
23400w (1 curve)	0	2+ 3- 5- 13-	2+ 3- 5-  3 -3 13- -3  4
Curve Equation t 23400w1 [0,0,0,-1875,98750] 1
23400x (2 curves)	0	2+ 3- 5- 13-	2+ 3- 5-  4  2 13- -4 -2
Curve Equation t 23400x1 [0,0,0,-315,1350] 2 23400x2 [0,0,0,-2115,-36450] 2
23400y (1 curve)	2	2+ 3- 5- 13-	2+ 3- 5- -5 -5 13-  3 -4
Curve Equation t Generators 23400y1 [0,0,0,420,56500] 1 [506:-11394:1]&[-30:130:1]
23400z (2 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+  0  0 13+  6 -8
Curve Equation t 23400z1 [0,0,0,-675,-19250] 2 23400z2 [0,0,0,-15675,-754250] 2
23400ba (1 curve)	0	2- 3+ 5+ 13+	2- 3+ 5+  3  3 13+  3  4
Curve Equation t 23400ba1 [0,0,0,41700,85094500] 1
23400bb (2 curves)	1	2- 3+ 5+ 13-	2- 3+ 5+ -2  4 13- -8 -2
Curve Equation t Generators 23400bb1 [0,0,0,-68175,395543250] 2 [-495:17550:1] 23400bb2 [0,0,0,-8505675,9432105750] 2 [1179:32292:1]
23400bc (2 curves)	1	2- 3+ 5+ 13-	2- 3+ 5+ -2 -4 13-  0 -2
Curve Equation t Generators 23400bc1 [0,0,0,225,1250] 2 [5:50:1] 23400bc2 [0,0,0,-1275,11750] 2 [-29:156:1]
23400bd (1 curve)	1	2- 3+ 5+ 13-	2- 3+ 5+ -3  5 13-  3 -8
Curve Equation t Generators 23400bd1 [0,0,0,-2700,-121500] 1 [360:6750:1]
23400be (4 curves)	1	2- 3- 5+ 13+	2- 3- 5+  0  0 13+  2 -4
Curve Equation t Generators 23400be1 [0,0,0,-1650,-14875] 2 [-10:25:1] 23400be2 [0,0,0,-11775,481250] 4 [5:650:1] 23400be3 [0,0,0,1725,1520750] 2 [59:1352:1] 23400be4 [0,0,0,-187275,31193750] 2 [259:252:1]
23400bf (4 curves)	1	2- 3- 5+ 13+	2- 3- 5+  0  0 13+ -6  4
Curve Equation t Generators 23400bf1 [0,0,0,37950,-189875] 2 [446:10269:1] 23400bf2 [0,0,0,-152175,-1520750] 4 [-255:4550:1] 23400bf3 [0,0,0,-1614675,786766750] 2 [1995:74200:1] 23400bf4 [0,0,0,-1731675,-874984250] 2 [-741:1148:1]
23400bg (2 curves)	1	2- 3- 5+ 13+	2- 3- 5+  0 -2 13+  2  2
Curve Equation t Generators 23400bg1 [0,0,0,-4575,117250] 2 [-55:450:1] 23400bg2 [0,0,0,-75,337750] 2 [-45:500:1]
23400bh (6 curves)	1	2- 3- 5+ 13+	2- 3- 5+  0  4 13+  2 -4
Curve Equation t Generators 23400bh1 [0,0,0,-2091450,-1260000875] 2 [109852014257174:-3919300352276211:46229625469] 23400bh2 [0,0,0,-34222575,-77057324750] 4 [-293261239965:-53830513750:86938307] 23400bh3 [0,0,0,-34983075,-73453315250] 4 [14351244857885077:-2979379761414318144:326655706103] 23400bh4 [0,0,0,-547560075,-4931690062250] 2 [-1071967479678480351:41593315262972:79346245464611] 23400bh5 [0,0,0,38141925,-340140190250] 2 [397437554059353455551076279487896:83665329384754727063353555221923937:9111443678210113689476191744] 23400bh6 [0,0,0,-120276075,423890167750] 2 [21540985615561330333621055218:4403479166867432759720114821896:486378610647086524179077]
23400bi (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+  0  4 13+  8  5
Curve Equation t Generators 23400bi1 [0,0,0,-46875,-5206250] 1 [155602:21699549:8]
23400bj (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+ -3 -3 13+  3  4
Curve Equation t Generators 23400bj1 [0,0,0,-75,790] 1 [11:36:1]
23400bk (4 curves)	1	2- 3- 5+ 13+	2- 3- 5+ -4 -4 13+  6  0
Curve Equation t Generators 23400bk1 [0,0,0,-4575,-422750] 2 [185:2250:1] 23400bk2 [0,0,0,-117075,-15385250] 4 [435:4000:1] 23400bk3 [0,0,0,-162075,-2470250] 2 [-130:4050:1] 23400bk4 [0,0,0,-1872075,-985900250] 2 [9210:873500:1]
23400bl (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+  5 -1 13+ -3  6
Curve Equation t Generators 23400bl1 [0,0,0,-77700,8336500] 1 [140:450:1]
23400bm (2 curves)	0	2- 3- 5+ 13-	2- 3- 5+  0  2 13-  2  8
Curve Equation t 23400bm1 [0,0,0,-146550,-20286875] 2 23400bm2 [0,0,0,126825,-87263750] 2
23400bn (2 curves)	0	2- 3- 5+ 13-	2- 3- 5+  4  2 13- -6  4
Curve Equation t 23400bn1 [0,0,0,1050,-41875] 2 23400bn2 [0,0,0,-13575,-553750] 2
23400bo (1 curve)	0	2- 3- 5+ 13-	2- 3- 5+ -5  2 13- -3 -2
Curve Equation t 23400bo1 [0,0,0,-3675,89750] 1
23400bp (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  1 -3 13+  7  0
Curve Equation t 23400bp1 [0,0,0,-55020,-4979900] 1
23400bq (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  2  2 13+ -2  4
Curve Equation t 23400bq1 [0,0,0,-22500,-1147500] 1
23400br (2 curves)	0	2- 3- 5- 13+	2- 3- 5- -4  2 13+  4 -2
Curve Equation t 23400br1 [0,0,0,-7875,168750] 2 23400br2 [0,0,0,-52875,-4556250] 2
23400bs (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  5 -5 13+ -3 -4
Curve Equation t 23400bs1 [0,0,0,10500,7062500] 1
23400bt (1 curve)	1	2- 3- 5- 13-	2- 3- 5-  0  2 13-  2  8
Curve Equation t Generators 23400bt1 [0,0,0,-300,-700] 1 [-16:2:1]
23400bu (1 curve)	1	2- 3- 5- 13-	2- 3- 5- -3 -1 13-  5 -4
Curve Equation t Generators 23400bu1 [0,0,0,61125,14723750] 1 [211:6084:1]

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