Show commands:
SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 96600e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
96600.n1 | 96600e1 | \([0, -1, 0, -5033, -136563]\) | \(-3525581824/23667\) | \(-94668000000\) | \([]\) | \(130560\) | \(0.94126\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 96600e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 96600e do not have complex multiplication.Modular form 96600.2.a.e
sage: E.q_eigenform(10)