Properties

Label 67270ba
Number of curves $1$
Conductor $67270$
CM no
Rank $1$

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

Elliptic curves in class 67270ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67270.ba1 67270ba1 \([1, 1, 1, -86541, -9768701]\) \(2406050132401999/18790481920\) \(559787246878720\) \([]\) \(311808\) \(1.6584\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67270ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 67270ba do not have complex multiplication.

Modular form 67270.2.a.ba

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - q^{7} + q^{8} - 2 q^{9} - q^{10} + q^{11} - q^{12} - q^{13} - q^{14} + q^{15} + q^{16} + 2 q^{17} - 2 q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display