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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 44400bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44400.z1 | 44400bq1 | \([0, -1, 0, -453, -10323]\) | \(-20123648/80919\) | \(-41430528000\) | \([]\) | \(22400\) | \(0.72260\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44400bq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44400bq do not have complex multiplication.Modular form 44400.2.a.bq
sage: E.q_eigenform(10)