Show commands:
SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 74529bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
74529.c1 | 74529bq1 | \([0, 0, 1, -13377, -710096]\) | \(-4096\) | \(-64630861568091\) | \([]\) | \(258048\) | \(1.3683\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74529bq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 74529bq do not have complex multiplication.Modular form 74529.2.a.bq
sage: E.q_eigenform(10)