Properties

Label 59248.v
Number of curves $1$
Conductor $59248$
CM no
Rank $0$

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

Elliptic curves in class 59248.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59248.v1 59248ba1 \([0, 1, 0, 560, -2156]\) \(8947391/6272\) \(-13590069248\) \([]\) \(48384\) \(0.63289\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59248.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 59248.v do not have complex multiplication.

Modular form 59248.2.a.v

sage: E.q_eigenform(10)
 
\(q + q^{3} - 4 q^{5} + q^{7} - 2 q^{9} + 2 q^{13} - 4 q^{15} + 5 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display