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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 74382.bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
74382.bq1 | 74382bx1 | \([1, 0, 0, -638, 6600]\) | \(-244140625/21252\) | \(-2500276548\) | \([]\) | \(44544\) | \(0.54750\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74382.bq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 74382.bq do not have complex multiplication.Modular form 74382.2.a.bq
sage: E.q_eigenform(10)