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SageMath
E = EllipticCurve("fc1")
E.isogeny_class()
Elliptic curves in class 286110fc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286110.fc1 | 286110fc1 | \([1, -1, 1, -7448018, 9512822481]\) | \(-2596717791529849/718080000000\) | \(-12635542344142080000000\) | \([]\) | \(32514048\) | \(2.9567\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286110fc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 286110fc do not have complex multiplication.Modular form 286110.2.a.fc
sage: E.q_eigenform(10)