Properties

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

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 317900.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
317900.k1 317900k1 \([0, 1, 0, -4533, 125863]\) \(-13107200/1331\) \(-1046272480000\) \([]\) \(383616\) \(1.0462\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 317900.k1 has rank \(1\).

Complex multiplication

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

Modular form 317900.2.a.k

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