Properties

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

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Show commands: SageMath
E = EllipticCurve("eb1")
 
E.isogeny_class()
 

Elliptic curves in class 212160eb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
212160.bq1 212160eb1 \([0, -1, 0, 244639, 20322561]\) \(6176736766011239/4260587175000\) \(-1116887364403200000\) \([]\) \(2764800\) \(2.1517\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 212160eb1 has rank \(0\).

Complex multiplication

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

Modular form 212160.2.a.eb

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