Properties

Label 21168.v
Number of curves $1$
Conductor $21168$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 21168.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21168.v1 21168g1 \([0, 0, 0, 1029, -14406]\) \(756\) \(-159385218048\) \([]\) \(16128\) \(0.83539\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21168.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 21168.v do not have complex multiplication.

Modular form 21168.2.a.v

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