Show commands:
SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 23184.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23184.w1 | 23184bf1 | \([0, 0, 0, 15, -173]\) | \(32000/1127\) | \(-13145328\) | \([]\) | \(2880\) | \(0.045894\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23184.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23184.w do not have complex multiplication.Modular form 23184.2.a.w
sage: E.q_eigenform(10)