Properties

Label 388311.g
Number of curves $1$
Conductor $388311$
CM no
Rank $0$

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

Elliptic curves in class 388311.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388311.g1 388311g1 \([0, -1, 1, 91895, -198592671]\) \(10747904/2139291\) \(-17082078678331493211\) \([]\) \(9257472\) \(2.3696\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388311.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 388311.g do not have complex multiplication.

Modular form 388311.2.a.g

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