Properties

Label 265200.gt
Number of curves $1$
Conductor $265200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gt1")
 
E.isogeny_class()
 

Elliptic curves in class 265200.gt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
265200.gt1 265200gt1 \([0, 1, 0, -8958, 380463]\) \(-508844800/112047\) \(-17507343750000\) \([]\) \(622080\) \(1.2617\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 265200.gt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 265200.gt do not have complex multiplication.

Modular form 265200.2.a.gt

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{7} + q^{9} + 2 q^{11} - q^{13} - q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display