Properties

Label 152880cl
Number of curves $1$
Conductor $152880$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cl1")
 
E.isogeny_class()
 

Elliptic curves in class 152880cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
152880.eq1 152880cl1 \([0, 1, 0, -5211656, -28135810956]\) \(-662989657192009/14097531093750\) \(-332879713676415360000000\) \([]\) \(22579200\) \(3.1944\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 152880cl1 has rank \(1\).

Complex multiplication

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

Modular form 152880.2.a.cl

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{9} - 4 q^{11} - q^{13} - q^{15} + 5 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display