Properties

Label 94864ba
Number of curves $1$
Conductor $94864$
CM no
Rank $1$

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

Elliptic curves in class 94864ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
94864.dj1 94864ba1 \([0, 0, 0, -847, 9317]\) \(48384\) \(1388903824\) \([]\) \(68640\) \(0.54459\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 94864ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 94864ba do not have complex multiplication.

Modular form 94864.2.a.ba

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + q^{5} + 6 q^{9} + 2 q^{13} + 3 q^{15} + 3 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display