Properties

Label 372810p
Number of curves $1$
Conductor $372810$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 372810p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
372810.p1 372810p1 \([1, 1, 0, -405617, -99562881]\) \(305759741604409/133224750\) \(3215721595632750\) \([]\) \(4478976\) \(1.9350\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 372810p1 has rank \(1\).

Complex multiplication

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

Modular form 372810.2.a.p

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