Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 12882.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12882.c1 | 12882a1 | \([1, 1, 0, -120, -576]\) | \(-193602111625/7420032\) | \(-7420032\) | \([]\) | \(6384\) | \(0.088006\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12882.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12882.c do not have complex multiplication.Modular form 12882.2.a.c
sage: E.q_eigenform(10)