Properties

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

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Show commands: SageMath
E = EllipticCurve("dw1")
 
E.isogeny_class()
 

Elliptic curves in class 212160.dw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
212160.dw1 212160dc1 \([0, -1, 0, -345, 3057]\) \(-4447738624/1077375\) \(-1103232000\) \([]\) \(138240\) \(0.45366\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 212160.dw1 has rank \(1\).

Complex multiplication

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

Modular form 212160.2.a.dw

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