Properties

Label 463680.gl
Number of curves $1$
Conductor $463680$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gl1")
 
E.isogeny_class()
 

Elliptic curves in class 463680.gl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
463680.gl1 463680gl1 \([0, 0, 0, -33708, 2387432]\) \(-5674076449024/14904575\) \(-11126205619200\) \([]\) \(1290240\) \(1.3787\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 463680.gl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 463680.gl do not have complex multiplication.

Modular form 463680.2.a.gl

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} + 2 q^{11} + 5 q^{13} + 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display