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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 102850bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102850.j1 | 102850bq1 | \([1, 0, 1, -772951, -258177702]\) | \(609926185/9248\) | \(774371457612500000\) | \([]\) | \(2534400\) | \(2.2346\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102850bq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102850bq do not have complex multiplication.Modular form 102850.2.a.bq
sage: E.q_eigenform(10)