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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 311696.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
311696.ba1 | 311696ba1 | \([0, -1, 0, -14560, -665872]\) | \(188183524/1771\) | \(3212732959744\) | \([]\) | \(583680\) | \(1.2207\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 311696.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 311696.ba do not have complex multiplication.Modular form 311696.2.a.ba
sage: E.q_eigenform(10)