Properties

Label 37440eg
Number of curves $1$
Conductor $37440$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("eg1")
 
E.isogeny_class()
 

Elliptic curves in class 37440eg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37440.bw1 37440eg1 \([0, 0, 0, -2388, -70562]\) \(-32278933504/27421875\) \(-1279395000000\) \([]\) \(53760\) \(1.0207\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37440eg1 has rank \(0\).

Complex multiplication

The elliptic curves in class 37440eg do not have complex multiplication.

Modular form 37440.2.a.eg

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} - 5 q^{11} + q^{13} + 7 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display