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SageMath
E = EllipticCurve("bs1")
E.isogeny_class()
Elliptic curves in class 56350.bs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
56350.bs1 | 56350bu1 | \([1, -1, 1, 328070, -1458388053]\) | \(84972077055/20040095362\) | \(-920975460642163281250\) | \([]\) | \(1935360\) | \(2.7019\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 56350.bs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 56350.bs do not have complex multiplication.Modular form 56350.2.a.bs
sage: E.q_eigenform(10)