Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 1176.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1176.c1 | 1176b1 | \([0, -1, 0, 40, 204]\) | \(68782/243\) | \(-24385536\) | \([]\) | \(240\) | \(0.10042\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1176.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1176.c do not have complex multiplication.Modular form 1176.2.a.c
sage: E.q_eigenform(10)