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SageMath
E = EllipticCurve("fu1")
E.isogeny_class()
Elliptic curves in class 163170fu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163170.j1 | 163170fu1 | \([1, -1, 0, -555, 9701]\) | \(-19622547/29600\) | \(-28548223200\) | \([]\) | \(109440\) | \(0.69789\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163170fu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 163170fu do not have complex multiplication.Modular form 163170.2.a.fu
sage: E.q_eigenform(10)