Properties

Label 372810.g
Number of curves $1$
Conductor $372810$
CM no
Rank $0$

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

Elliptic curves in class 372810.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
372810.g1 372810g1 \([1, 1, 0, -72097558, -235659153602]\) \(349498321520986457/2418750\) \(286834426277118750\) \([]\) \(27417600\) \(2.9491\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 372810.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 372810.g do not have complex multiplication.

Modular form 372810.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + q^{7} - q^{8} + q^{9} + q^{10} - 2 q^{11} - q^{12} + 5 q^{13} - q^{14} + q^{15} + q^{16} - q^{18} + O(q^{20})\) Copy content Toggle raw display