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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 3648ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3648.g1 | 3648ba1 | \([0, -1, 0, 219, -963]\) | \(70575104/61731\) | \(-1011400704\) | \([]\) | \(1536\) | \(0.41538\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3648ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3648ba do not have complex multiplication.Modular form 3648.2.a.ba
sage: E.q_eigenform(10)