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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 177600.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177600.r1 | 177600hd1 | \([0, -1, 0, 7167, -626463]\) | \(636056/2997\) | \(-191808000000000\) | \([]\) | \(716800\) | \(1.4230\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177600.r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177600.r do not have complex multiplication.Modular form 177600.2.a.r
sage: E.q_eigenform(10)