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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 84966c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84966.bf1 | 84966c1 | \([1, 1, 0, -446366, 85894488]\) | \(34543481/8748\) | \(2490813591373410156\) | \([]\) | \(1827840\) | \(2.2397\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84966c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84966c do not have complex multiplication.Modular form 84966.2.a.c
sage: E.q_eigenform(10)