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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 133952.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
133952.ba1 | 133952o1 | \([0, -1, 0, -1925, -32291]\) | \(-48174982144/717899\) | \(-11762057216\) | \([]\) | \(90112\) | \(0.73586\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133952.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 133952.ba do not have complex multiplication.Modular form 133952.2.a.ba
sage: E.q_eigenform(10)