Properties

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

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

Elliptic curves in class 63580.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
63580.a1 63580m1 \([0, 0, 0, -15249952, -42238574204]\) \(-219633107337216/304487046875\) \(-543751112429157644000000\) \([]\) \(13880160\) \(3.2468\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 63580.a1 has rank \(0\).

Complex multiplication

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

Modular form 63580.2.a.a

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