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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 409101.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
409101.ba1 | 409101ba1 | \([0, -1, 1, -40245, -3131206]\) | \(-134217728/1863\) | \(-100062942658371\) | \([]\) | \(989184\) | \(1.4926\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 409101.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 409101.ba do not have complex multiplication.Modular form 409101.2.a.ba
sage: E.q_eigenform(10)