Properties

Label 53176.a
Number of curves $1$
Conductor $53176$
CM no
Rank $1$

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

Elliptic curves in class 53176.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
53176.a1 53176b1 \([0, 0, 0, -15895, -771341]\) \(-1149984000/23\) \(-8882625392\) \([]\) \(110592\) \(1.0297\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53176.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 53176.a do not have complex multiplication.

Modular form 53176.2.a.a

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