Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 2600c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2600.e1 | 2600c1 | \([0, -1, 0, -408, -3188]\) | \(-235298/13\) | \(-416000000\) | \([]\) | \(1120\) | \(0.41169\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2600c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2600c do not have complex multiplication.Modular form 2600.2.a.c
sage: E.q_eigenform(10)