Properties

Label 37030i
Number of curves $1$
Conductor $37030$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 37030i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37030.k1 37030i1 \([1, -1, 0, 16, -32]\) \(826551/1120\) \(-592480\) \([]\) \(4320\) \(-0.20658\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37030i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 37030i do not have complex multiplication.

Modular form 37030.2.a.i

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