Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 21160.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21160.a1 21160d1 \([0, 0, 0, -98923, -12057497]\) \(-45198971136/359375\) \(-851206361750000\) \([]\) \(152064\) \(1.6930\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21160.a1 has rank \(0\).

Complex multiplication

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

Modular form 21160.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - q^{5} + 2 q^{7} + 6 q^{9} + q^{13} + 3 q^{15} + O(q^{20})\) Copy content Toggle raw display