Properties

Label 372232.g
Number of curves $1$
Conductor $372232$
CM no
Rank $1$

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

Elliptic curves in class 372232.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
372232.g1 372232g1 \([0, -1, 0, -8188, 289685]\) \(-157216000/1127\) \(-435248644208\) \([]\) \(497664\) \(1.0657\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 372232.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 372232.g do not have complex multiplication.

Modular form 372232.2.a.g

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