Properties

Label 212160.cr
Number of curves $1$
Conductor $212160$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cr1")
 
E.isogeny_class()
 

Elliptic curves in class 212160.cr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
212160.cr1 212160cl1 \([0, -1, 0, -2605, -81725]\) \(-30558612127744/28361896875\) \(-1815161400000\) \([]\) \(259200\) \(1.0488\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 212160.cr1 has rank \(1\).

Complex multiplication

The elliptic curves in class 212160.cr do not have complex multiplication.

Modular form 212160.2.a.cr

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{7} + q^{9} + 2 q^{11} + q^{13} - q^{15} + q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display