Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 372810.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
372810.l1 372810l1 \([1, 1, 0, -20255582, 35125390836]\) \(-455899074391369/681615360\) \(-1374132408212349296640\) \([]\) \(55628352\) \(2.9568\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 372810.l1 has rank \(1\).

Complex multiplication

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

Modular form 372810.2.a.l

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