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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 59290.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59290.ba1 | 59290j1 | \([1, -1, 0, -22569850, -41265126204]\) | \(-20998480041/80\) | \(-4844086262866909520\) | \([]\) | \(2882880\) | \(2.7996\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59290.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59290.ba do not have complex multiplication.Modular form 59290.2.a.ba
sage: E.q_eigenform(10)