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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 30446c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30446.e1 | 30446c1 | \([1, 0, 1, -39, 78]\) | \(6321363049/791596\) | \(791596\) | \([]\) | \(4480\) | \(-0.13864\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30446c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 30446c do not have complex multiplication.Modular form 30446.2.a.c
sage: E.q_eigenform(10)