Show commands:
SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 43350.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43350.v1 | 43350h1 | \([1, 1, 0, 57225, 27055125]\) | \(4589352212399/72559411200\) | \(-327651091200000000\) | \([]\) | \(532224\) | \(2.0415\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43350.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43350.v do not have complex multiplication.Modular form 43350.2.a.v
sage: E.q_eigenform(10)