Cremona's table of elliptic curves

31746 = 2 · 3 · 11 · 13 · 37

Class	r	Atkin-Lehner	Eigenvalues
31746a (2 curves)	1	2+ 3+ 11+ 13+ 37+	2+ 3+ -2  2 11+ 13+ -6  2
Curve Equation t Generators 31746a1 [1,1,0,-91,169] 2 [0:13:1] 31746a2 [1,1,0,279,1575] 2 [3:48:1]
31746b (2 curves)	2	2+ 3+ 11+ 13+ 37-	2+ 3+  0 -4 11+ 13+  0  0
Curve Equation t Generators 31746b1 [1,1,0,3055,-6123] 2 [3:54:1]&[29:314:1] 31746b2 [1,1,0,-12305,-64491] 2 [-107:257:1]&[-30:543:1]
31746c (4 curves)	0	2+ 3+ 11+ 13+ 37-	2+ 3+ -2 -4 11+ 13+  6  4
Curve Equation t 31746c1 [1,1,0,5629,308301] 2 31746c2 [1,1,0,-48451,3434125] 4 31746c3 [1,1,0,-221611,-36981419] 2 31746c4 [1,1,0,-740571,244984005] 2
31746d (1 curve)	0	2+ 3+ 11+ 13+ 37-	2+ 3+  3 -1 11+ 13+  0  6
Curve Equation t 31746d1 [1,1,0,-3346566,-5695575948] 1
31746e (2 curves)	2	2+ 3+ 11+ 13- 37+	2+ 3+ -2  2 11+ 13-  0 -8
Curve Equation t Generators 31746e1 [1,1,0,-1356,18000] 2 [-25:205:1]&[-3:150:1] 31746e2 [1,1,0,-3516,-56736] 2 [-40:168:1]&[-20:88:1]
31746f (1 curve)	1	2+ 3+ 11+ 13- 37-	2+ 3+  0 -1 11+ 13-  5  7
Curve Equation t Generators 31746f1 [1,1,0,-160,736] 1 [7:1:1]
31746g (1 curve)	2	2+ 3+ 11- 13+ 37+	2+ 3+ -3 -1 11- 13+  0  0
Curve Equation t Generators 31746g1 [1,1,0,71,-251] 1 [13:-62:1]&[30:59:8]
31746h (2 curves)	1	2+ 3+ 11- 13+ 37-	2+ 3+  0 -2 11- 13+ -2  0
Curve Equation t Generators 31746h1 [1,1,0,126735,-8657451] 2 [130:3103:1] 31746h2 [1,1,0,-573105,-74022507] 2 [-598:7735:1]
31746i (2 curves)	1	2+ 3+ 11- 13+ 37-	2+ 3+ -4 -2 11- 13+ -6  0
Curve Equation t Generators 31746i1 [1,1,0,94718,-71652620] 2 [2774:12545:8] 31746i2 [1,1,0,-2117122,-1126700300] 2 [-684:1750:1]
31746j (2 curves)	1	2+ 3+ 11- 13- 37+	2+ 3+  0 -4 11- 13-  2  0
Curve Equation t Generators 31746j1 [1,1,0,-225,1377] 2 [8:-17:1] 31746j2 [1,1,0,-3735,86319] 2 [-67:237:1]
31746k (1 curve)	1	2+ 3+ 11- 13- 37+	2+ 3+  1  3 11- 13-  4 -6
Curve Equation t Generators 31746k1 [1,1,0,-1837,29557] 1 [1:166:1]
31746l (1 curve)	1	2+ 3+ 11- 13- 37+	2+ 3+ -2 -2 11- 13- -2  3
Curve Equation t Generators 31746l1 [1,1,0,-831,8901] 1 [14:-23:1]
31746m (1 curve)	1	2+ 3+ 11- 13- 37+	2+ 3+ -3 -1 11- 13- -4 -6
Curve Equation t Generators 31746m1 [1,1,0,1942586,-872471276] 1 [2611:147046:1]
31746n (4 curves)	0	2+ 3- 11+ 13+ 37+	2+ 3-  2  0 11+ 13+  6 -4
Curve Equation t 31746n1 [1,0,1,-4285,-14824] 2 31746n2 [1,0,1,-50365,-4346344] 4 31746n3 [1,0,1,-32605,-7450792] 2 31746n4 [1,0,1,-805405,-278274856] 2
31746o (1 curve)	1	2+ 3- 11+ 13+ 37-	2+ 3-  3 -5 11+ 13+  8 -2
Curve Equation t Generators 31746o1 [1,0,1,-1097507,-1217893642] 1 [239994:117450037:1]
31746p (1 curve)	1	2+ 3- 11+ 13- 37+	2+ 3- -1  1 11+ 13-  4 -4
Curve Equation t Generators 31746p1 [1,0,1,1191,-6980] 1 [8:51:1]
31746q (1 curve)	0	2+ 3- 11+ 13- 37-	2+ 3-  0  3 11+ 13- -3  7
Curve Equation t 31746q1 [1,0,1,-77851,-8367148] 1
31746r (2 curves)	0	2+ 3- 11+ 13- 37-	2+ 3- -3 -4 11+ 13-  3  2
Curve Equation t 31746r1 [1,0,1,-28938135,59915119642] 3 31746r2 [1,0,1,-28616790,61310844520] 1
31746s (1 curve)	1	2+ 3- 11- 13+ 37+	2+ 3-  1 -1 11- 13+  0  8
Curve Equation t Generators 31746s1 [1,0,1,-3708,-87200] 1 [430:8609:1]
31746t (2 curves)	2	2+ 3- 11- 13+ 37-	2+ 3- -2 -2 11- 13+ -4 -4
Curve Equation t Generators 31746t1 [1,0,1,-1537,-20380] 2 [79:554:1]&[-178:517:8] 31746t2 [1,0,1,-6397,175964] 2 [22:203:1]&[-77:500:1]
31746u (1 curve)	0	2- 3+ 11+ 13+ 37+	2- 3+ -1  0 11+ 13+ -3 -2
Curve Equation t 31746u1 [1,1,1,-776,-8665] 1
31746v (1 curve)	0	2- 3+ 11+ 13+ 37+	2- 3+ -1  3 11+ 13+  0  4
Curve Equation t 31746v1 [1,1,1,14189,-8660623] 1
31746w (2 curves)	1	2- 3+ 11+ 13+ 37-	2- 3+  0  4 11+ 13+ -2  0
Curve Equation t Generators 31746w1 [1,1,1,-424958,-107673541] 2 [1521:51847:1] 31746w2 [1,1,1,-6814718,-6850148293] 2 [3185:59783:1]
31746x (1 curve)	1	2- 3+ 11+ 13+ 37-	2- 3+  3  1 11+ 13+ -8  0
Curve Equation t Generators 31746x1 [1,1,1,-15479,752069] 1 [57:-272:1]
31746y (4 curves)	0	2- 3+ 11+ 13- 37-	2- 3+ -2  4 11+ 13-  2 -4
Curve Equation t 31746y1 [1,1,1,-149,2027] 4 31746y2 [1,1,1,-3529,79091] 4 31746y3 [1,1,1,-4699,20591] 2 31746y4 [1,1,1,-56439,5137287] 2
31746z (4 curves)	1	2- 3+ 11- 13+ 37+	2- 3+  2  0 11- 13+  2 -4
Curve Equation t Generators 31746z1 [1,1,1,-332,-2467] 2 [10568:-3425:512] 31746z2 [1,1,1,-352,-2179] 4 [430:2751:8] 31746z3 [1,1,1,758,-11947] 2 [292158:2146375:5832] 31746z4 [1,1,1,-1782,26421] 2 [57910:319331:1000]
31746ba (2 curves)	1	2- 3+ 11- 13+ 37+	2- 3+ -4  0 11- 13+  6 -8
Curve Equation t Generators 31746ba1 [1,1,1,610,12251] 2 [11:-149:1] 31746ba2 [1,1,1,-5630,137051] 2 [-73:443:1]
31746bb (1 curve)	1	2- 3+ 11- 13+ 37+	2- 3+ -4  3 11- 13+ -7  5
Curve Equation t Generators 31746bb1 [1,1,1,7050,127731] 1 [343:6389:1]
31746bc (1 curve)	0	2- 3+ 11- 13+ 37-	2- 3+ -2  2 11- 13+  6  1
Curve Equation t 31746bc1 [1,1,1,-26079,-10682043] 1
31746bd (1 curve)	0	2- 3+ 11- 13- 37+	2- 3+  2  2 11- 13-  6  1
Curve Equation t 31746bd1 [1,1,1,1913,115169] 1
31746be (2 curves)	0	2- 3+ 11- 13- 37+	2- 3+  2  2 11- 13-  6  6
Curve Equation t 31746be1 [1,1,1,-15308332,-23060039731] 2 31746be2 [1,1,1,-15284652,-23134906419] 2
31746bf (4 curves)	0	2- 3+ 11- 13- 37+	2- 3+ -2  0 11- 13- -2  0
Curve Equation t 31746bf1 [1,1,1,-1469,-89389] 4 31746bf2 [1,1,1,-40189,-3109549] 4 31746bf3 [1,1,1,-57349,-219805] 2 31746bf4 [1,1,1,-642549,-198515133] 2
31746bg (1 curve)	2	2- 3+ 11- 13- 37+	2- 3+ -3 -3 11- 13- -4 -4
Curve Equation t Generators 31746bg1 [1,1,1,-40662,5517267] 1 [11935:692273:343]&[-231:1743:1]
31746bh (1 curve)	1	2- 3+ 11- 13- 37-	2- 3+  1  0 11- 13- -3  6
Curve Equation t Generators 31746bh1 [1,1,1,473935,-537543601] 1 [17343:-2294384:1]
31746bi (2 curves)	0	2- 3- 11+ 13+ 37-	2- 3-  0 -2 11+ 13+  6  4
Curve Equation t 31746bi1 [1,0,0,-217998,-39817980] 2 31746bi2 [1,0,0,-3503358,-2524207212] 2
31746bj (1 curve)	0	2- 3- 11+ 13+ 37-	2- 3-  3  2 11+ 13+  2  6
Curve Equation t 31746bj1 [1,0,0,-9,27] 1
31746bk (6 curves)	1	2- 3- 11+ 13- 37-	2- 3- -2  0 11+ 13-  2  4
Curve Equation t Generators 31746bk1 [1,0,0,1001,10985] 4 [-26:715:8] 31746bk2 [1,0,0,-5479,100409] 8 [110:857:1] 31746bk3 [1,0,0,-35899,-2546131] 4 [1894:11023:8] 31746bk4 [1,0,0,-78739,8496005] 4 [11924:29207:64] 31746bk5 [1,0,0,11291,-8746897] 2 [15426222:112704899:74088] 31746bk6 [1,0,0,-569809,-165602245] 2 [5931790:450002047:1000]
31746bl (1 curve)	0	2- 3- 11- 13+ 37+	2- 3- -1 -2 11- 13+ -2  6
Curve Equation t 31746bl1 [1,0,0,-17173754321,-866262052408791] 1
31746bm (1 curve)	0	2- 3- 11- 13+ 37+	2- 3-  2 -2 11- 13+ -2  3
Curve Equation t 31746bm1 [1,0,0,-105587,13215813] 1
31746bn (1 curve)	0	2- 3- 11- 13+ 37+	2- 3-  3  1 11- 13+ -4  6
Curve Equation t 31746bn1 [1,0,0,1241,25031] 1
31746bo (1 curve)	0	2- 3- 11- 13+ 37+	2- 3-  3 -2 11- 13+  6  6
Curve Equation t 31746bo1 [1,0,0,2861351,116076857] 1
31746bp (2 curves)	0	2- 3- 11- 13- 37-	2- 3-  3  2 11- 13-  6  2
Curve Equation t 31746bp1 [1,0,0,-72644,7530072] 3 31746bp2 [1,0,0,-58454,10561782] 1

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