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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 20286.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20286.b1 | 20286bb1 | \([1, -1, 0, 5114709, -7875374459]\) | \(503009937352889/1201583849472\) | \(-35347928738133238972416\) | \([]\) | \(2096640\) | \(3.0106\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20286.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20286.b do not have complex multiplication.Modular form 20286.2.a.b
sage: E.q_eigenform(10)