Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 126960e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
126960.h1 | 126960e1 | \([0, -1, 0, -176, -49824]\) | \(-1058/1875\) | \(-1074589440000\) | \([]\) | \(184320\) | \(0.98755\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 126960e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 126960e do not have complex multiplication.Modular form 126960.2.a.e
sage: E.q_eigenform(10)