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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 105840ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
105840.fj1 | 105840ba1 | \([0, 0, 0, -8967, -340599]\) | \(-1568892672/78125\) | \(-3970653750000\) | \([]\) | \(193536\) | \(1.1786\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 105840ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 105840ba do not have complex multiplication.Modular form 105840.2.a.ba
sage: E.q_eigenform(10)