Properties

Label 152880.s
Number of curves $1$
Conductor $152880$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 152880.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
152880.s1 152880ef1 \([0, -1, 0, 684, -1330020]\) \(2817220784/60901334325\) \(-763946337772800\) \([]\) \(552960\) \(1.5347\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 152880.s1 has rank \(2\).

Complex multiplication

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

Modular form 152880.2.a.s

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