Properties

Label 317900.g
Number of curves $1$
Conductor $317900$
CM no
Rank $1$

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

Elliptic curves in class 317900.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
317900.g1 317900g1 \([0, 1, 0, 19267, 788863]\) \(204800/187\) \(-722196064480000\) \([]\) \(1078272\) \(1.5384\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 317900.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 317900.g do not have complex multiplication.

Modular form 317900.2.a.g

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