Properties

Label 21160b
Number of curves $1$
Conductor $21160$
CM no
Rank $0$

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

Elliptic curves in class 21160b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21160.c1 21160b1 \([0, 0, 0, -48668, -3358092]\) \(635904/125\) \(2505951528992000\) \([]\) \(79488\) \(1.6714\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21160b1 has rank \(0\).

Complex multiplication

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

Modular form 21160.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{5} - 2 q^{7} - 3 q^{9} + 3 q^{11} - 2 q^{13} + 6 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display