Properties

Label 231280.g
Number of curves $1$
Conductor $231280$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 231280.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
231280.g1 231280g1 \([0, 0, 0, -372547, -1293927614]\) \(-581453267835321/73208248217600\) \(-719966224262994329600\) \([]\) \(14653440\) \(2.6816\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 231280.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 231280.g do not have complex multiplication.

Modular form 231280.2.a.g

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} + 6 q^{9} + 2 q^{11} - 6 q^{13} - 3 q^{15} - q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display