Properties

Label 63580l
Number of curves $1$
Conductor $63580$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 63580l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63580.l1 63580l1 \([0, 1, 0, -52405, 4721575]\) \(-8912896/275\) \(-491093323846400\) \([]\) \(249696\) \(1.5960\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63580l1 has rank \(0\).

Complex multiplication

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

Modular form 63580.2.a.l

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