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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 90480ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
90480.n1 | 90480ba1 | \([0, -1, 0, 395, 36217]\) | \(26556760064/2244927555\) | \(-574701454080\) | \([]\) | \(103680\) | \(0.93592\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 90480ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 90480ba do not have complex multiplication.Modular form 90480.2.a.ba
sage: E.q_eigenform(10)