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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 29232.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29232.ba1 | 29232bt1 | \([0, 0, 0, -360, -3348]\) | \(-27648000/9947\) | \(-1856348928\) | \([]\) | \(8064\) | \(0.48917\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29232.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29232.ba do not have complex multiplication.Modular form 29232.2.a.ba
sage: E.q_eigenform(10)