Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 160016.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160016.c1 | 160016b1 | \([0, 0, 0, 3085, 108722]\) | \(792737256375/1705450528\) | \(-6985525362688\) | \([]\) | \(155520\) | \(1.1488\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160016.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 160016.c do not have complex multiplication.Modular form 160016.2.a.c
sage: E.q_eigenform(10)