Properties

Label 241200.gx
Number of curves $1$
Conductor $241200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gx1")
 
E.isogeny_class()
 

Elliptic curves in class 241200.gx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
241200.gx1 241200gx1 \([0, 0, 0, -271425, 54428875]\) \(-12134048168704/209375\) \(-38158593750000\) \([]\) \(1555200\) \(1.7350\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 241200.gx1 has rank \(1\).

Complex multiplication

The elliptic curves in class 241200.gx do not have complex multiplication.

Modular form 241200.2.a.gx

sage: E.q_eigenform(10)
 
\(q + 5 q^{7} - 2 q^{13} + 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display