Show commands:
SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 88725q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88725.bc1 | 88725q1 | \([0, -1, 1, -7323, -252757]\) | \(-2129920/147\) | \(-2997810399675\) | \([]\) | \(134784\) | \(1.1451\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88725q1 has rank \(2\).
Complex multiplication
The elliptic curves in class 88725q do not have complex multiplication.Modular form 88725.2.a.q
sage: E.q_eigenform(10)