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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 284592ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
284592.ba1 | 284592ba1 | \([0, -1, 0, -546597, -60611571]\) | \(495616/243\) | \(8854972018969595904\) | \([]\) | \(6758400\) | \(2.3289\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 284592ba do not have complex multiplication.Modular form 284592.2.a.ba
sage: E.q_eigenform(10)