Properties

Label 142373.g
Number of curves $1$
Conductor $142373$
CM no
Rank $1$

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

Elliptic curves in class 142373.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142373.g1 142373g1 \([0, 0, 1, 3698, -19877]\) \(884736/539\) \(-3407214683411\) \([]\) \(314496\) \(1.0939\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142373.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 142373.g do not have complex multiplication.

Modular form 142373.2.a.g

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 2 q^{4} + q^{5} + q^{7} + 6 q^{9} - q^{11} - 6 q^{12} - 4 q^{13} + 3 q^{15} + 4 q^{16} + 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display