Properties

Label 264600.fg
Number of curves $1$
Conductor $264600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("fg1")
 
E.isogeny_class()
 

Elliptic curves in class 264600.fg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
264600.fg1 264600fg1 \([0, 0, 0, -224175, 42574875]\) \(-1568892672/78125\) \(-62041464843750000\) \([]\) \(2322432\) \(1.9833\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 264600.fg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 264600.fg do not have complex multiplication.

Modular form 264600.2.a.fg

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