Show commands:
SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 64400.bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64400.bq1 | 64400z1 | \([0, 0, 0, -78875, 8526250]\) | \(-67834689570/161\) | \(-128800000000\) | \([]\) | \(122880\) | \(1.3734\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64400.bq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 64400.bq do not have complex multiplication.Modular form 64400.2.a.bq
sage: E.q_eigenform(10)