Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 37830.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37830.r1 37830q1 \([1, 1, 1, -670, 10175]\) \(-33265084589281/27964162980\) \(-27964162980\) \([]\) \(32256\) \(0.70226\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37830.r1 has rank \(0\).

Complex multiplication

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

Modular form 37830.2.a.r

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