Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 94192.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
94192.h1 94192ba1 \([0, -1, 0, -260149, 51744425]\) \(-524288/7\) \(-25996805588757248\) \([]\) \(545664\) \(1.9574\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 94192.h1 has rank \(1\).

Complex multiplication

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

Modular form 94192.2.a.h

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