Properties

Label 94192p
Number of curves $1$
Conductor $94192$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 94192p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
94192.l1 94192p1 \([0, -1, 0, -280, 2831024]\) \(-1/1421\) \(-3462119174721536\) \([]\) \(430080\) \(1.6606\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 94192p1 has rank \(2\).

Complex multiplication

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

Modular form 94192.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} - 2 q^{9} - 5 q^{11} - 5 q^{13} - q^{15} + 4 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display