Show commands:
SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 69360.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69360.w1 | 69360e1 | \([0, -1, 0, 5684, -157109]\) | \(52577024/57375\) | \(-22158288342000\) | \([]\) | \(165888\) | \(1.2473\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69360.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 69360.w do not have complex multiplication.Modular form 69360.2.a.w
sage: E.q_eigenform(10)