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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 1050b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1050.e1 | 1050b1 | \([1, 1, 0, -30, -90]\) | \(-125768785/30618\) | \(-765450\) | \([]\) | \(168\) | \(-0.15255\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1050b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1050b do not have complex multiplication.Modular form 1050.2.a.b
sage: E.q_eigenform(10)