Properties

Label 78400ja
Number of curves $1$
Conductor $78400$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("ja1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 78400ja

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
78400.kq1 78400ja1 [0, 0, 0, 156800, 72716000] [] 2211840 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 78400ja1 has rank \(1\).

Complex multiplication

The elliptic curves in class 78400ja do not have complex multiplication.

Modular form 78400.2.a.ja

sage: E.q_eigenform(10)
 
\( q + 3q^{3} + 6q^{9} - 5q^{11} + 3q^{13} - q^{17} - 6q^{19} + O(q^{20}) \)