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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 15600.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15600.ba1 | 15600bt1 | \([0, -1, 0, -1515333, 730668537]\) | \(-769623354048512/15247889631\) | \(-7623944815500000000\) | \([]\) | \(336000\) | \(2.4160\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15600.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15600.ba do not have complex multiplication.Modular form 15600.2.a.ba
sage: E.q_eigenform(10)