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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 54208bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54208.b1 | 54208bq1 | \([0, 0, 0, -8140396, -14674967120]\) | \(-8773917273/8605184\) | \(-58509573797375268356096\) | \([]\) | \(9123840\) | \(3.0646\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54208bq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54208bq do not have complex multiplication.Modular form 54208.2.a.bq
sage: E.q_eigenform(10)