Show commands:
SageMath
E = EllipticCurve("ch1")
E.isogeny_class()
Elliptic curves in class 331240ch
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331240.ch1 | 331240ch1 | \([0, 1, 0, -20505, 1125515]\) | \(-2249728/5\) | \(-2119162223360\) | \([]\) | \(677376\) | \(1.2479\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331240ch1 has rank \(1\).
Complex multiplication
The elliptic curves in class 331240ch do not have complex multiplication.Modular form 331240.2.a.ch
sage: E.q_eigenform(10)