Properties

Label 212160.da
Number of curves $1$
Conductor $212160$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("da1")
 
E.isogeny_class()
 

Elliptic curves in class 212160.da

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
212160.da1 212160gq1 \([0, -1, 0, -575, -5415]\) \(-329080651264/21749715\) \(-1391981760\) \([]\) \(80640\) \(0.50681\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 212160.da1 has rank \(0\).

Complex multiplication

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

Modular form 212160.2.a.da

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