Properties

Label 64400.bt
Number of curves $1$
Conductor $64400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bt1")
 
E.isogeny_class()
 

Elliptic curves in class 64400.bt

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
64400.bt1 64400cb1 \([0, 1, 0, 2667, -37537]\) \(4194304/3703\) \(-1851500000000\) \([]\) \(65280\) \(1.0414\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 64400.bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 64400.bt do not have complex multiplication.

Modular form 64400.2.a.bt

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