Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 37030a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37030.e1 37030a1 \([1, -1, 0, 8365, 338965]\) \(826551/1120\) \(-87708303514720\) \([]\) \(99360\) \(1.3612\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37030a1 has rank \(0\).

Complex multiplication

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

Modular form 37030.2.a.a

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