Show commands:
SageMath
E = EllipticCurve("ee1")
E.isogeny_class()
Elliptic curves in class 205350ee
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
205350.q1 | 205350ee1 | \([1, 1, 0, 29350, -3652500]\) | \(3532642667/9375000\) | \(-7419873046875000\) | \([]\) | \(1492992\) | \(1.7289\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 205350ee1 has rank \(0\).
Complex multiplication
The elliptic curves in class 205350ee do not have complex multiplication.Modular form 205350.2.a.ee
sage: E.q_eigenform(10)