Properties

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

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Show commands: SageMath
E = EllipticCurve("gc1")
 
E.isogeny_class()
 

Elliptic curves in class 264600.gc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
264600.gc1 264600gc1 \([0, 0, 0, 525, -5250]\) \(756\) \(-21168000000\) \([]\) \(147456\) \(0.66715\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 264600.gc1 has rank \(0\).

Complex multiplication

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

Modular form 264600.2.a.gc

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