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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 363.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
363.a1 | 363c1 | \([0, -1, 1, 444, -826]\) | \(45056/27\) | \(-5787689787\) | \([]\) | \(396\) | \(0.56254\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 363.a do not have complex multiplication.Modular form 363.2.a.a
sage: E.q_eigenform(10)