Properties

Label 426888.ba
Number of curves $1$
Conductor $426888$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 426888.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
426888.ba1 426888ba1 \([0, 0, 0, -1313004, 542059364]\) \(274717696/19683\) \(17936038048989037824\) \([]\) \(9289728\) \(2.4413\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 426888.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 426888.ba do not have complex multiplication.

Modular form 426888.2.a.ba

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + 2 q^{13} - q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display