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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 8015.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8015.e1 | 8015a1 | \([1, 1, 0, -108, 3287]\) | \(-141339344329/4714783675\) | \(-4714783675\) | \([]\) | \(4480\) | \(0.53648\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8015.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8015.e do not have complex multiplication.Modular form 8015.2.a.e
sage: E.q_eigenform(10)