Properties

Label 360640.gf
Number of curves $1$
Conductor $360640$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("gf1")
 
E.isogeny_class()
 

Elliptic curves in class 360640.gf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
360640.gf1 360640gf1 \([0, 1, 0, 31295, -598025]\) \(28134973184/17609375\) \(-2121446768000000\) \([]\) \(1474560\) \(1.6300\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 360640.gf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 360640.gf do not have complex multiplication.

Modular form 360640.2.a.gf

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 2 q^{9} - 2 q^{11} + 3 q^{13} + q^{15} + 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display