Show commands:
SageMath
E = EllipticCurve("ez1")
E.isogeny_class()
Elliptic curves in class 485100ez
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485100.ez1 | 485100ez1 | \([0, 0, 0, 1575, 23625]\) | \(48384/55\) | \(-491163750000\) | \([]\) | \(552960\) | \(0.92975\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100ez1 has rank \(1\).
Complex multiplication
The elliptic curves in class 485100ez do not have complex multiplication.Modular form 485100.2.a.ez
sage: E.q_eigenform(10)