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SageMath
E = EllipticCurve("jq1")
E.isogeny_class()
Elliptic curves in class 177450jq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177450.j1 | 177450jq1 | \([1, 1, 0, -1159525, 519626125]\) | \(-5022437771811277/497757560832\) | \(-17087083767936000000\) | \([]\) | \(5765760\) | \(2.4309\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177450jq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177450jq do not have complex multiplication.Modular form 177450.2.a.jq
sage: E.q_eigenform(10)