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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 392784.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
392784.ba1 | 392784ba1 | \([0, -1, 0, -296760, -60452496]\) | \(5997815120809/184075416\) | \(88704158175166464\) | \([]\) | \(3981312\) | \(2.0278\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 392784.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 392784.ba do not have complex multiplication.Modular form 392784.2.a.ba
sage: E.q_eigenform(10)