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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 121680.bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121680.bq1 | 121680o1 | \([0, 0, 0, -6511908, -6397321268]\) | \(-200601496576/46875\) | \(-7136012347308000000\) | \([]\) | \(3833856\) | \(2.6082\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121680.bq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 121680.bq do not have complex multiplication.Modular form 121680.2.a.bq
sage: E.q_eigenform(10)