Show commands:
SageMath
E = EllipticCurve("cl1")
E.isogeny_class()
Elliptic curves in class 450840.cl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450840.cl1 | 450840cl1 | \([0, 1, 0, -420880, 106327328]\) | \(-577136162/8775\) | \(-125362732123699200\) | \([]\) | \(8284032\) | \(2.0836\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450840.cl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450840.cl do not have complex multiplication.Modular form 450840.2.a.cl
sage: E.q_eigenform(10)