Properties

Label 212160dy
Number of curves $1$
Conductor $212160$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dy1")
 
E.isogeny_class()
 

Elliptic curves in class 212160dy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
212160.bm1 212160dy1 \([0, -1, 0, -565761, 312908961]\) \(-152796558778456322/233895263671875\) \(-30657120000000000000\) \([]\) \(4792320\) \(2.4306\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 212160dy1 has rank \(1\).

Complex multiplication

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

Modular form 212160.2.a.dy

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