Show commands:
SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 266910.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
266910.w1 | 266910w1 | \([1, 0, 1, -5382924, 4809493066]\) | \(-17249572672897384764351289/12161086875000000000\) | \(-12161086875000000000\) | \([]\) | \(11714976\) | \(2.5982\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 266910.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 266910.w do not have complex multiplication.Modular form 266910.2.a.w
sage: E.q_eigenform(10)