Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 92781.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92781.c1 | 92781j1 | \([1, -1, 1, -3074, -68506]\) | \(-912673/61\) | \(-214643369421\) | \([]\) | \(112320\) | \(0.92632\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92781.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 92781.c do not have complex multiplication.Modular form 92781.2.a.c
sage: E.q_eigenform(10)