Properties

Label 1456.f
Number of curves $1$
Conductor $1456$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 1456.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1456.f1 1456e1 \([0, 0, 0, -584, -5444]\) \(-86044336128/218491\) \(-55933696\) \([]\) \(480\) \(0.36344\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1456.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1456.f do not have complex multiplication.

Modular form 1456.2.a.f

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - q^{7} - 3 q^{9} + 2 q^{11} - q^{13} - 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display