Properties

Label 346560p
Number of curves $1$
Conductor $346560$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 346560p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
346560.p1 346560p1 \([0, -1, 0, -2780181, -1780397235]\) \(23658496/45\) \(4520312530551521280\) \([]\) \(7879680\) \(2.4692\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 346560p1 has rank \(0\).

Complex multiplication

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

Modular form 346560.2.a.p

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