Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 3381.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3381.c1 | 3381l1 | \([1, 0, 0, -687, 6894]\) | \(-14936239633/50301\) | \(-120772701\) | \([]\) | \(1344\) | \(0.41516\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3381.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3381.c do not have complex multiplication.Modular form 3381.2.a.c
sage: E.q_eigenform(10)