Properties

Label 69828.x
Number of curves $1$
Conductor $69828$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 69828.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69828.x1 69828bc1 \([0, 1, 0, -5466, -250119]\) \(-7626496/6831\) \(-16179730524144\) \([]\) \(152064\) \(1.2315\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69828.x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 69828.x do not have complex multiplication.

Modular form 69828.2.a.x

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