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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 11154.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11154.ba1 | 11154z1 | \([1, 1, 1, -4365, 101499]\) | \(54424690756969/4209228936\) | \(711359690184\) | \([]\) | \(18144\) | \(1.0186\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11154.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11154.ba do not have complex multiplication.Modular form 11154.2.a.ba
sage: E.q_eigenform(10)