Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 3332.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3332.c1 | 3332e1 | \([0, -1, 0, -4356, -153992]\) | \(-728871512656/410338673\) | \(-5147288314112\) | \([]\) | \(8064\) | \(1.1423\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3332.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3332.c do not have complex multiplication.Modular form 3332.2.a.c
sage: E.q_eigenform(10)