Properties

Label 215600.y
Number of curves $1$
Conductor $215600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 215600.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
215600.y1 215600ba1 \([0, 1, 0, -161128, -24960972]\) \(-38401771585/22528\) \(-271400619212800\) \([]\) \(1216512\) \(1.7145\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 215600.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 215600.y do not have complex multiplication.

Modular form 215600.2.a.y

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{9} - q^{11} + 3 q^{13} - 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display