Properties

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

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 94192.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
94192.g1 94192bg1 \([0, -1, 0, -1372792, -620289424]\) \(-117433042273/363776\) \(-886302508728713216\) \([]\) \(1290240\) \(2.3118\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 94192.g1 has rank \(1\).

Complex multiplication

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

Modular form 94192.2.a.g

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