Properties

Label 94192m
Number of curves $1$
Conductor $94192$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 94192m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
94192.w1 94192m1 \([0, 1, 0, 154464, 1397376788]\) \(397822/823543\) \(-843723636058400405504\) \([]\) \(3702720\) \(2.6943\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 94192m1 has rank \(1\).

Complex multiplication

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

Modular form 94192.2.a.m

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{7} - 2 q^{9} - 6 q^{11} - 3 q^{13} - q^{15} - 2 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display