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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 279174.bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
279174.bq1 | 279174bq1 | \([1, 1, 1, 2628738, 1101970875]\) | \(83228502970940543/69854999176704\) | \(-1686129862622635992576\) | \([]\) | \(19514880\) | \(2.7607\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 279174.bq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 279174.bq do not have complex multiplication.Modular form 279174.2.a.bq
sage: E.q_eigenform(10)