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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 17787.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17787.c1 | 17787l1 | \([0, -1, 1, -13834, 249402]\) | \(495616/243\) | \(143568569901141\) | \([]\) | \(107520\) | \(1.4098\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17787.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 17787.c do not have complex multiplication.Modular form 17787.2.a.c
sage: E.q_eigenform(10)