Properties

Label 152880hz
Number of curves $1$
Conductor $152880$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("hz1")
 
E.isogeny_class()
 

Elliptic curves in class 152880hz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
152880.p1 152880hz1 \([0, -1, 0, -27314576, -57178805424]\) \(-7791602019623044/375378046875\) \(-108579847434392880000000\) \([]\) \(18176256\) \(3.1823\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 152880hz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 152880hz do not have complex multiplication.

Modular form 152880.2.a.hz

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 3 q^{11} - q^{13} + q^{15} + 7 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display