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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 303450.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.ba1 | 303450ba1 | \([1, 1, 0, -55825, 5057125]\) | \(-34087423877/27216\) | \(-15362156250000\) | \([]\) | \(1612800\) | \(1.4604\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303450.ba do not have complex multiplication.Modular form 303450.2.a.ba
sage: E.q_eigenform(10)