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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 141570.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141570.ba1 | 141570eg1 | \([1, -1, 0, -12150, -13964]\) | \(2248846192681/1300000000\) | \(114671700000000\) | \([]\) | \(552960\) | \(1.3872\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141570.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141570.ba do not have complex multiplication.Modular form 141570.2.a.ba
sage: E.q_eigenform(10)