Show commands:
SageMath
E = EllipticCurve("ed1")
E.isogeny_class()
Elliptic curves in class 235200ed
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.ed1 | 235200ed1 | \([0, -1, 0, 11667, 197037]\) | \(358400/243\) | \(-119070000000000\) | \([]\) | \(460800\) | \(1.3896\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200ed1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235200ed do not have complex multiplication.Modular form 235200.2.a.ed
sage: E.q_eigenform(10)