Show commands:
SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 144150.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
144150.w1 | 144150ex1 | \([1, 1, 0, -4065, 318645]\) | \(-9978084895/53747712\) | \(-40029952204800\) | \([]\) | \(479232\) | \(1.2942\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 144150.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 144150.w do not have complex multiplication.Modular form 144150.2.a.w
sage: E.q_eigenform(10)