Show commands:
SageMath
E = EllipticCurve("eo1")
E.isogeny_class()
Elliptic curves in class 72600eo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
72600.eo1 | 72600eo1 | \([0, 1, 0, -28233, -2193237]\) | \(-8780800/2187\) | \(-619904625120000\) | \([]\) | \(362880\) | \(1.5563\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72600eo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 72600eo do not have complex multiplication.Modular form 72600.2.a.eo
sage: E.q_eigenform(10)