Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 106560c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106560.r1 | 106560c1 | \([0, 0, 0, -35903628, 84390016752]\) | \(-991990479802737267/22190066240000\) | \(-114495867794730516480000\) | \([]\) | \(9953280\) | \(3.2130\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106560c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 106560c do not have complex multiplication.Modular form 106560.2.a.c
sage: E.q_eigenform(10)