Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 94864r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
94864.bg1 94864r1 \([0, -1, 0, -96840, -10738517]\) \(12544\) \(8006754153499024\) \([]\) \(453600\) \(1.7950\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 94864r1 has rank \(1\).

Complex multiplication

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

Modular form 94864.2.a.r

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