Properties

Label 388416.g
Number of curves $1$
Conductor $388416$
CM no
Rank $0$

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

Elliptic curves in class 388416.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388416.g1 388416g1 \([0, -1, 0, -268577, -479160159]\) \(-2343314/107163\) \(-97981968501949464576\) \([]\) \(13160448\) \(2.5160\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388416.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 388416.g do not have complex multiplication.

Modular form 388416.2.a.g

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