Properties

Label 37830.v
Number of curves $1$
Conductor $37830$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 37830.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37830.v1 37830u1 \([1, 0, 0, -261411, -106452405]\) \(-1975583504633441101489/3750192587141756730\) \(-3750192587141756730\) \([]\) \(810880\) \(2.2538\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37830.v1 has rank \(1\).

Complex multiplication

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

Modular form 37830.2.a.v

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} - 2 q^{7} + q^{8} + q^{9} - q^{10} + q^{11} + q^{12} - q^{13} - 2 q^{14} - q^{15} + q^{16} + 3 q^{17} + q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display