Properties

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

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Show commands: SageMath
E = EllipticCurve("dj1")
 
E.isogeny_class()
 

Elliptic curves in class 37440dj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37440.fl1 37440dj1 \([0, 0, 0, 60048, 147043296]\) \(74251994112/29007265625\) \(-9354444952320000000\) \([]\) \(645120\) \(2.3193\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37440dj1 has rank \(1\).

Complex multiplication

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

Modular form 37440.2.a.dj

sage: E.q_eigenform(10)
 
\(q + q^{5} + 3 q^{7} - 3 q^{11} - q^{13} + 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display