Properties

Label 94192.n
Number of curves $1$
Conductor $94192$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 94192.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
94192.n1 94192r1 \([0, -1, 0, -512, -8192]\) \(-4317433/6272\) \(-21605384192\) \([]\) \(40320\) \(0.67500\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 94192.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 94192.n do not have complex multiplication.

Modular form 94192.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{5} - q^{7} - 2 q^{9} + q^{11} - 2 q^{13} - 2 q^{15} - 2 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display