Properties

Label 346560r
Number of curves $1$
Conductor $346560$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 346560r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
346560.r1 346560r1 \([0, -1, 0, -481, -4439]\) \(-92416/15\) \(-2001730560\) \([]\) \(161280\) \(0.51246\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 346560r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 346560r do not have complex multiplication.

Modular form 346560.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{7} + q^{9} - 2 q^{11} + 4 q^{13} + q^{15} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display