Properties

Label 64400cj
Number of curves $1$
Conductor $64400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cj1")
 
E.isogeny_class()
 

Elliptic curves in class 64400cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
64400.bp1 64400cj1 \([0, 0, 0, 14725, -164950]\) \(137927116575/84410368\) \(-216090542080000\) \([]\) \(175104\) \(1.4397\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 64400cj1 has rank \(1\).

Complex multiplication

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

Modular form 64400.2.a.cj

sage: E.q_eigenform(10)
 
\(q + q^{7} - 3 q^{9} + 4 q^{11} + q^{13} + 3 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display