Show commands:
SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 25350.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25350.w1 | 25350r1 | \([1, 1, 0, -234575, 44632125]\) | \(-895973/24\) | \(-38237377546875000\) | \([]\) | \(411840\) | \(1.9639\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25350.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25350.w do not have complex multiplication.Modular form 25350.2.a.w
sage: E.q_eigenform(10)