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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 131043ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
131043.x1 | 131043ba1 | \([1, 1, 0, -6657, -163962]\) | \(51026761/11979\) | \(7660972048059\) | \([]\) | \(259200\) | \(1.1840\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 131043ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 131043ba do not have complex multiplication.Modular form 131043.2.a.ba
sage: E.q_eigenform(10)