Properties

Label 63580.f
Number of curves $1$
Conductor $63580$
CM no
Rank $1$

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

Elliptic curves in class 63580.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63580.f1 63580h1 \([0, -1, 0, 380, 7400]\) \(81807536/378125\) \(-27975200000\) \([]\) \(43200\) \(0.68694\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63580.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 63580.f do not have complex multiplication.

Modular form 63580.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 3 q^{7} - 2 q^{9} - q^{11} + 4 q^{13} - q^{15} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display