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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 3822.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3822.ba1 | 3822bb1 | \([1, 0, 0, -3725, 89361]\) | \(-2380771254001/69009408\) | \(-165691588608\) | \([]\) | \(9216\) | \(0.93203\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3822.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3822.ba do not have complex multiplication.Modular form 3822.2.a.ba
sage: E.q_eigenform(10)