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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 4650.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4650.ba1 | 4650bc1 | \([1, 1, 1, 12, 21]\) | \(7604375/8928\) | \(-223200\) | \([]\) | \(480\) | \(-0.28740\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4650.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4650.ba do not have complex multiplication.Modular form 4650.2.a.ba
sage: E.q_eigenform(10)