Show commands:
SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 286650.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
286650.w1 | 286650w1 | \([1, -1, 0, 873, 16771]\) | \(34295/78\) | \(-167243935950\) | \([]\) | \(387072\) | \(0.83765\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 286650.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 286650.w do not have complex multiplication.Modular form 286650.2.a.w
sage: E.q_eigenform(10)