Show commands:
SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 8624.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8624.v1 | 8624a1 | \([0, 1, 0, -9032, -272812]\) | \(6902546/1331\) | \(15714201868288\) | \([]\) | \(16128\) | \(1.2493\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8624.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8624.v do not have complex multiplication.Modular form 8624.2.a.v
sage: E.q_eigenform(10)