Cremona's table of elliptic curves

111825 = 3² · 5² · 7 · 71

Class	r	Atkin-Lehner	Eigenvalues
111825a (2 curves)	1	3+ 5+ 7+ 71+	1 3+ 5+ 7+ -4 -6 -2 -4
Curve Equation t Generators 111825a1 [1,-1,0,-13692,-612909] 2 [174:1413:1] 111825a2 [1,-1,0,-11067,-857034] 2 [9582:325359:8]
111825b (2 curves)	0	3+ 5+ 7+ 71-	-1 3+ 5+ 7+  4 -6  2 -4
Curve Equation t 111825b1 [1,-1,1,-123230,16671772] 2 111825b2 [1,-1,1,-99605,23239522] 2
111825c (1 curve)	0	3- 5+ 7+ 71+	1 3- 5+ 7+ -1  3 -2 -4
Curve Equation t 111825c1 [1,-1,0,5508,80541] 1
111825d (1 curve)	0	3- 5+ 7+ 71+	1 3- 5+ 7+  3  0  5  1
Curve Equation t 111825d1 [1,-1,0,-2460627,-1485035924] 1
111825e (2 curves)	0	3- 5+ 7+ 71+	1 3- 5+ 7+ -4  0 -2  8
Curve Equation t 111825e1 [1,-1,0,-236817,54945216] 2 111825e2 [1,-1,0,-4033692,3119023341] 2
111825f (4 curves)	0	3- 5+ 7+ 71+	1 3- 5+ 7+ -4 -6  6  4
Curve Equation t 111825f1 [1,-1,0,-408042,100398991] 2 111825f2 [1,-1,0,-463167,71568616] 4 111825f3 [1,-1,0,1450458,509788741] 2 111825f4 [1,-1,0,-3258792,-2212457009] 2
111825g (1 curve)	0	3- 5+ 7+ 71+	1 3- 5+ 7+  5  0  4 -1
Curve Equation t 111825g1 [1,-1,0,-176248917,-900568085634] 1
111825h (1 curve)	2	3- 5+ 7+ 71+	-1 3- 5+ 7+ -1 -4  5 -3
Curve Equation t Generators 111825h1 [1,-1,1,-635,5982] 1 [-22:105:1]&[5:51:1]
111825i (1 curve)	0	3- 5+ 7+ 71+	-1 3- 5+ 7+  5 -4  0  1
Curve Equation t 111825i1 [1,-1,1,-1355,-170728] 1
111825j (1 curve)	0	3- 5+ 7+ 71+	2 3- 5+ 7+  5  5  5 -6
Curve Equation t 111825j1 [0,0,1,-12675,-553469] 1
111825k (1 curve)	0	3- 5+ 7+ 71+	-2 3- 5+ 7+  5  3  7  8
Curve Equation t 111825k1 [0,0,1,3075,334656] 1
111825l (2 curves)	1	3- 5+ 7+ 71-	0 3- 5+ 7+ -3  1 -3 -4
Curve Equation t Generators 111825l1 [0,0,1,-370200,-86729594] 1 [26310:590174:27] 111825l2 [0,0,1,259800,-340028969] 1 [605:6212:1]
111825m (2 curves)	1	3- 5+ 7+ 71-	1 3- 5+ 7+  4 -4 -2  0
Curve Equation t Generators 111825m1 [1,-1,0,-7364817,7752289216] 2 [704:53648:1] 111825m2 [1,-1,0,-118081692,493910087341] 2 [84262:5133769:8]
111825n (2 curves)	1	3- 5+ 7+ 71-	1 3- 5+ 7+  4 -4  4  6
Curve Equation t Generators 111825n1 [1,-1,0,15183,247216] 2 [3942708:62560346:35937] 111825n2 [1,-1,0,-64692,2084341] 2 [-2292:72371:27]
111825o (1 curve)	1	3- 5+ 7+ 71-	1 3- 5+ 7+ -5 -4 -8 -3
Curve Equation t Generators 111825o1 [1,-1,0,-6560442,-6559194659] 1 [22724:3391313:1]
111825p (6 curves)	1	3- 5+ 7+ 71-	-1 3- 5+ 7+  4  2  2 -4
Curve Equation t Generators 111825p1 [1,-1,1,-84380,314357622] 2 [-661:9330:1] 111825p2 [1,-1,1,-7465505,7769293872] 4 [191542:29356725:8] 111825p3 [1,-1,1,-13935380,-7706647128] 2 [-6659910072:262607782065:2515456] 111825p4 [1,-1,1,-119093630,500272581372] 4 [45310:666183:8] 111825p5 [1,-1,1,-118739255,503397460122] 2 [449:670725:1] 111825p6 [1,-1,1,-1905498005,32016018565122] 2 [2146924956:-1058682045:85184]
111825q (1 curve)	1	3- 5+ 7- 71+	0 3- 5+ 7- -1  1  1  2
Curve Equation t Generators 111825q1 [0,0,1,169800,-20586969] 1 [18210:882171:8]
111825r (1 curve)	0	3- 5- 7+ 71-	0 3- 5- 7+ -3 -1 -1  8
Curve Equation t 111825r1 [0,0,1,-305940,-79654869] 1
111825s (1 curve)	0	3- 5- 7- 71+	1 3- 5- 7- -1  4 -5 -3
Curve Equation t 111825s1 [1,-1,0,-15867,731916] 1
111825t (1 curve)	0	3- 5- 7- 71+	-1 3- 5- 7-  3  0 -5  1
Curve Equation t 111825t1 [1,-1,1,-61515680,-185691006178] 1
111825u (1 curve)	1	3- 5- 7- 71-	0 3- 5- 7- -3  1  1  8
Curve Equation t Generators 111825u1 [0,0,1,-7648500,-9956858594] 1 [3314:33050:1]

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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