Properties

Label 160446c
Number of curves $1$
Conductor $160446$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 160446c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
160446.bi1 160446c1 \([1, 0, 0, -761637, 376334289]\) \(-227943056622193/153608369616\) \(-32927318223120159696\) \([]\) \(7332864\) \(2.4457\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 160446c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 160446c do not have complex multiplication.

Modular form 160446.2.a.c

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - 3 q^{5} + q^{6} + 4 q^{7} + q^{8} + q^{9} - 3 q^{10} + q^{12} + q^{13} + 4 q^{14} - 3 q^{15} + q^{16} - q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display