Properties

Label 105800.v
Number of curves $1$
Conductor $105800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 105800.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
105800.v1 105800y1 \([0, 1, 0, -57308, -5482987]\) \(-562432/23\) \(-851206361750000\) \([]\) \(540672\) \(1.6323\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 105800.v1 has rank \(1\).

Complex multiplication

The elliptic curves in class 105800.v do not have complex multiplication.

Modular form 105800.2.a.v

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