Properties

Label 316239.g
Number of curves $1$
Conductor $316239$
CM no
Rank $1$

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

Elliptic curves in class 316239.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
316239.g1 316239g1 \([1, 0, 0, -935, 12294]\) \(-66036512089/10085229\) \(-13806678501\) \([]\) \(250560\) \(0.67488\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 316239.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 316239.g do not have complex multiplication.

Modular form 316239.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} + q^{5} - q^{6} + q^{7} + 3 q^{8} + q^{9} - q^{10} - q^{11} - q^{12} - 6 q^{13} - q^{14} + q^{15} - q^{16} + 2 q^{17} - q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display