Properties

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

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Show commands: SageMath
E = EllipticCurve("cg1")
 
E.isogeny_class()
 

Elliptic curves in class 372810.cg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
372810.cg1 372810cg1 \([1, 0, 0, -38822821, 104039415401]\) \(-268096690657988515441/38588659147593000\) \(-931436422792507221417000\) \([]\) \(71124480\) \(3.3299\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 372810.cg1 has rank \(0\).

Complex multiplication

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

Modular form 372810.2.a.cg

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} - q^{7} + q^{8} + q^{9} - q^{10} + q^{11} + q^{12} - 5 q^{13} - q^{14} - q^{15} + q^{16} + q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display