Properties

Label 21160.b
Number of curves $1$
Conductor $21160$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 21160.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21160.b1 21160f1 \([0, -1, 0, -176, 280801]\) \(-256/14375\) \(-34048254470000\) \([]\) \(33792\) \(1.2755\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21160.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 21160.b do not have complex multiplication.

Modular form 21160.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{9} - 2 q^{11} - 5 q^{13} + q^{15} + 4 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display