Properties

Label 160016.c
Number of curves $1$
Conductor $160016$
CM no
Rank $1$

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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)
 
\(q + q^{7} - 3 q^{9} - 2 q^{11} - 2 q^{13} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display