Properties

Label 37830s
Number of curves $1$
Conductor $37830$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 37830s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37830.q1 37830s1 \([1, 1, 1, 19905, 2490165]\) \(872185564155269519/3165721293355920\) \(-3165721293355920\) \([]\) \(211200\) \(1.6572\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37830s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 37830s do not have complex multiplication.

Modular form 37830.2.a.s

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - q^{7} + q^{8} + q^{9} + q^{10} - q^{11} - q^{12} + q^{13} - q^{14} - q^{15} + q^{16} + 3 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display