Properties

Label 170352.fs
Number of curves $1$
Conductor $170352$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fs1")
 
E.isogeny_class()
 

Elliptic curves in class 170352.fs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
170352.fs1 170352cu1 \([0, 0, 0, -2445379131, -46810653907862]\) \(-112205650221491190337/745029571313664\) \(-10737943166240603234510045184\) \([]\) \(153538560\) \(4.2142\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 170352.fs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 170352.fs do not have complex multiplication.

Modular form 170352.2.a.fs

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} - q^{7} - q^{11} - 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display