Cremona's table of elliptic curves

56304 = 2⁴ · 3² · 17 · 23

Class	r	Atkin-Lehner	Eigenvalues
56304a (1 curve)	1	2+ 3+ 17+ 23+	2+ 3+  0 -4 -3 -5 17+ -3
Curve Equation t Generators 56304a1 [0,0,0,-4995,-154062] 1 [171:1998:1]
56304b (2 curves)	1	2+ 3+ 17+ 23+	2+ 3+  2 -2  4  2 17+  0
Curve Equation t Generators 56304b1 [0,0,0,-54,-2565] 2 [1077065:30637610:1331] 56304b2 [0,0,0,-3159,-67770] 2 [3237:184140:1]
56304c (1 curve)	0	2+ 3+ 17+ 23-	2+ 3+  2 -1  0 -1 17+  0
Curve Equation t 56304c1 [0,0,0,-103884,-12887572] 1
56304d (1 curve)	0	2+ 3+ 17+ 23-	2+ 3+ -4 -4  3 -1 17+ -3
Curve Equation t 56304d1 [0,0,0,4990653,-2876153230] 1
56304e (1 curve)	0	2+ 3+ 17- 23+	2+ 3+ -2 -1  0 -1 17-  0
Curve Equation t 56304e1 [0,0,0,-934956,347964444] 1
56304f (1 curve)	0	2+ 3+ 17- 23+	2+ 3+  4 -4 -3 -1 17- -3
Curve Equation t 56304f1 [0,0,0,44915877,77656137210] 1
56304g (1 curve)	1	2+ 3+ 17- 23-	2+ 3+  0 -4  3 -5 17- -3
Curve Equation t Generators 56304g1 [0,0,0,-555,5706] 1 [27:102:1]
56304h (2 curves)	1	2+ 3+ 17- 23-	2+ 3+ -2 -2 -4  2 17-  0
Curve Equation t Generators 56304h1 [0,0,0,-6,95] 2 [-1:10:1] 56304h2 [0,0,0,-351,2510] 2 [-7:68:1]
56304i (4 curves)	0	2+ 3- 17+ 23+	2+ 3-  2  0 -4 -2 17+ -8
Curve Equation t 56304i1 [0,0,0,-1074,-5285] 2 56304i2 [0,0,0,-14079,-642530] 4 56304i3 [0,0,0,-11019,-929558] 2 56304i4 [0,0,0,-225219,-41139182] 2
56304j (1 curve)	0	2+ 3- 17+ 23+	2+ 3-  2 -4  0 -1 17+  6
Curve Equation t 56304j1 [0,0,0,-11019,445313] 1
56304k (1 curve)	0	2+ 3- 17+ 23+	2+ 3-  3 -2  4 -4 17+ -6
Curve Equation t 56304k1 [0,0,0,-1731,-61022] 1
56304l (1 curve)	0	2+ 3- 17+ 23+	2+ 3- -4 -1  0 -1 17+  0
Curve Equation t 56304l1 [0,0,0,-18372,-957220] 1
56304m (1 curve)	1	2+ 3- 17+ 23-	2+ 3-  0 -3  0  7 17+  4
Curve Equation t Generators 56304m1 [0,0,0,-8580,-226388] 1 [-31:99:1]
56304n (1 curve)	1	2+ 3- 17+ 23-	2+ 3- -2  1 -2 -5 17+  2
Curve Equation t Generators 56304n1 [0,0,0,-156,236] 1 [1:9:1]
56304o (1 curve)	1	2+ 3- 17+ 23-	2+ 3- -4 -1  6  2 17+ -3
Curve Equation t Generators 56304o1 [0,0,0,573,26210] 1 [-19:92:1]
56304p (1 curve)	1	2+ 3- 17- 23+	2+ 3-  4  1  0 -1 17- -4
Curve Equation t Generators 56304p1 [0,0,0,-985908,-355064740] 1 [-2310622285579933885:4963785998243827635:3413145314503547]
56304q (2 curves)	0	2+ 3- 17- 23-	2+ 3-  4  4  2  2 17-  0
Curve Equation t 56304q1 [0,0,0,-27003,-1707910] 2 56304q2 [0,0,0,-27363,-1660030] 2
56304r (1 curve)	1	2- 3+ 17+ 23-	2- 3+  0 -4 -1 -1 17+  5
Curve Equation t Generators 56304r1 [0,0,0,405,16794] 1 [15:162:1]
56304s (1 curve)	1	2- 3+ 17+ 23-	2- 3+  2  3  0  3 17+  0
Curve Equation t Generators 56304s1 [0,0,0,-864,-4752] 1 [-1596:2295:64]
56304t (1 curve)	1	2- 3+ 17- 23+	2- 3+  0 -4  1 -1 17-  5
Curve Equation t Generators 56304t1 [0,0,0,45,-622] 1 [7:6:1]
56304u (1 curve)	1	2- 3+ 17- 23+	2- 3+ -2  3  0  3 17-  0
Curve Equation t Generators 56304u1 [0,0,0,-96,176] 1 [1:9:1]
56304v (1 curve)	1	2- 3- 17+ 23+	2- 3-  0 -1  0 -5 17+  8
Curve Equation t Generators 56304v1 [0,0,0,-2640,45488] 1 [1:207:1]
56304w (1 curve)	1	2- 3- 17+ 23+	2- 3-  0  2 -3  1 17+  5
Curve Equation t Generators 56304w1 [0,0,0,2180085,-3165592966] 1 [414238285:101829025098:6859]
56304x (1 curve)	1	2- 3- 17+ 23+	2- 3-  0  2 -3  1 17+ -5
Curve Equation t Generators 56304x1 [0,0,0,2445,-61198] 1 [223:3402:1]
56304y (1 curve)	1	2- 3- 17+ 23+	2- 3-  1  4  2  2 17+ -4
Curve Equation t Generators 56304y1 [0,0,0,573,6082] 1 [17:-144:1]
56304z (1 curve)	1	2- 3- 17+ 23+	2- 3-  2 -1  6 -5 17+  6
Curve Equation t Generators 56304z1 [0,0,0,-5664,-122708] 1 [86:162:1]
56304ba (2 curves)	1	2- 3- 17+ 23+	2- 3- -2 -4  4  2 17+  6
Curve Equation t Generators 56304ba1 [0,0,0,-156,155] 2 [13:18:1] 56304ba2 [0,0,0,609,1226] 2 [274:4554:1]
56304bb (1 curve)	1	2- 3- 17+ 23+	2- 3- -2 -5  2 -1 17+  2
Curve Equation t Generators 56304bb1 [0,0,0,-75936,7782064] 1 [898:6561:8]
56304bc (2 curves)	1	2- 3- 17+ 23+	2- 3-  3 -2  0 -4 17+ -2
Curve Equation t Generators 56304bc1 [0,0,0,-3531,-220678] 1 [2114:33273:8] 56304bc2 [0,0,0,-407451,-100106422] 1 [58374746686:-1389819099321:55742968]
56304bd (2 curves)	0	2- 3- 17+ 23-	2- 3-  0  0  2 -2 17+  2
Curve Equation t 56304bd1 [0,0,0,-35355,8217034] 2 56304bd2 [0,0,0,-864795,308971978] 2
56304be (1 curve)	0	2- 3- 17+ 23-	2- 3-  2  2 -3  5 17+ -3
Curve Equation t 56304be1 [0,0,0,-39,-718] 1
56304bf (1 curve)	0	2- 3- 17+ 23-	2- 3-  2 -3  2 -5 17+  2
Curve Equation t 56304bf1 [0,0,0,-16994064,26876992988] 1
56304bg (1 curve)	0	2- 3- 17+ 23-	2- 3- -2  0  0  3 17+  2
Curve Equation t 56304bg1 [0,0,0,99,-189] 1
56304bh (4 curves)	0	2- 3- 17+ 23-	2- 3- -2  0  0  6 17+ -4
Curve Equation t 56304bh1 [0,0,0,-76131,437346] 2 56304bh2 [0,0,0,-813411,-281351070] 4 56304bh3 [0,0,0,-421731,-552785310] 2 56304bh4 [0,0,0,-13001571,-18044375454] 2
56304bi (1 curve)	0	2- 3- 17- 23+	2- 3-  0  1 -2  2 17-  1
Curve Equation t 56304bi1 [0,0,0,45,2322] 1
56304bj (1 curve)	0	2- 3- 17- 23+	2- 3-  0 -2  4 -1 17- -2
Curve Equation t 56304bj1 [0,0,0,-4005,-97821] 1
56304bk (2 curves)	0	2- 3- 17- 23+	2- 3-  0 -4 -2  2 17- -4
Curve Equation t 56304bk1 [0,0,0,-14278035,-20765887918] 2 56304bk2 [0,0,0,-14370195,-20484228526] 2
56304bl (1 curve)	0	2- 3- 17- 23+	2- 3-  0  5  4 -1 17- -4
Curve Equation t 56304bl1 [0,0,0,-840,-9124] 1
56304bm (1 curve)	2	2- 3- 17- 23+	2- 3-  1  0 -6 -6 17-  0
Curve Equation t Generators 56304bm1 [0,0,0,-26067,1631378] 1 [-167:1152:1]&[89:-128:1]
56304bn (1 curve)	0	2- 3- 17- 23+	2- 3-  1 -4  6 -6 17-  8
Curve Equation t 56304bn1 [0,0,0,8133,-3322262] 1
56304bo (1 curve)	0	2- 3- 17- 23+	2- 3- -1  2  0  4 17-  6
Curve Equation t 56304bo1 [0,0,0,-36318603,86260793146] 1
56304bp (2 curves)	2	2- 3- 17- 23+	2- 3- -2  0  0 -6 17- -6
Curve Equation t Generators 56304bp1 [0,0,0,789,10010] 2 [7:126:1]&[38:308:1] 56304bp2 [0,0,0,-4971,98714] 2 [-70:322:1]&[-59:432:1]
56304bq (1 curve)	0	2- 3- 17- 23+	2- 3-  3  2  4 -4 17-  2
Curve Equation t 56304bq1 [0,0,0,358269,-12633982] 1
56304br (1 curve)	0	2- 3- 17- 23+	2- 3-  4  2  5  1 17-  1
Curve Equation t 56304br1 [0,0,0,-2883,59650] 1
56304bs (1 curve)	0	2- 3- 17- 23+	2- 3-  4 -3  6  6 17-  3
Curve Equation t 56304bs1 [0,0,0,-8643,-309310] 1
56304bt (1 curve)	0	2- 3- 17- 23+	2- 3- -4  2 -3  1 17-  3
Curve Equation t 56304bt1 [0,0,0,-19947,-7054310] 1
56304bu (2 curves)	1	2- 3- 17- 23-	2- 3-  0 -2  3  5 17-  1
Curve Equation t Generators 56304bu1 [0,0,0,-306435,-66491134] 1 [1375:45954:1] 56304bu2 [0,0,0,-24947715,-47961667582] 1 [25567:4003326:1]
56304bv (1 curve)	1	2- 3- 17- 23-	2- 3-  0 -2 -5 -3 17- -1
Curve Equation t Generators 56304bv1 [0,0,0,54645,-3482566] 1 [415:9522:1]
56304bw (2 curves)	1	2- 3- 17- 23-	2- 3-  0  4 -2  6 17-  2
Curve Equation t Generators 56304bw1 [0,0,0,12165,-969046] 2 [845:24752:1] 56304bw2 [0,0,0,-104475,-10930102] 2 [-139:952:1]
56304bx (1 curve)	1	2- 3- 17- 23-	2- 3-  2 -1  2 -1 17-  6
Curve Equation t Generators 56304bx1 [0,0,0,-243264,21878768] 1 [-431:6831:1]
56304by (1 curve)	1	2- 3- 17- 23-	2- 3- -2  2 -3 -3 17- -7
Curve Equation t Generators 56304by1 [0,0,0,249,147346] 1 [26:414:1]

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

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