Properties

Label 37440eb
Number of curves $1$
Conductor $37440$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("eb1")
 
E.isogeny_class()
 

Elliptic curves in class 37440eb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37440.a1 37440eb1 \([0, 0, 0, 42, -718]\) \(175616/4875\) \(-227448000\) \([]\) \(15360\) \(0.28363\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37440eb1 has rank \(1\).

Complex multiplication

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

Modular form 37440.2.a.eb

sage: E.q_eigenform(10)
 
\(q - q^{5} - 5 q^{7} - q^{11} - q^{13} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display