Properties

Label 170352bz
Number of curves $1$
Conductor $170352$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bz1")
 
E.isogeny_class()
 

Elliptic curves in class 170352bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
170352.ee1 170352bz1 \([0, 0, 0, -183027, -34637902]\) \(-47045881/8736\) \(-125909997552009216\) \([]\) \(1290240\) \(2.0057\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 170352bz1 has rank \(1\).

Complex multiplication

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

Modular form 170352.2.a.bz

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