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SageMath
E = EllipticCurve("fb1")
E.isogeny_class()
Elliptic curves in class 163170fb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163170.a1 | 163170fb1 | \([1, -1, 0, 2376540, 527208016]\) | \(353221512666239/233046720000\) | \(-979388146122482880000\) | \([]\) | \(9580032\) | \(2.7166\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163170fb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 163170fb do not have complex multiplication.Modular form 163170.2.a.fb
sage: E.q_eigenform(10)