Properties

Label 136462.a
Number of curves $1$
Conductor $136462$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 136462.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
136462.a1 136462d1 \([1, -1, 0, -2523766, -1536211340]\) \(2003092024307193/9529458688\) \(8457429663537430528\) \([]\) \(9710280\) \(2.4810\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 136462.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 136462.a do not have complex multiplication.

Modular form 136462.2.a.a

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