Properties

Label 37440.fo
Number of curves $1$
Conductor $37440$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fo1")
 
E.isogeny_class()
 

Elliptic curves in class 37440.fo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
37440.fo1 37440fw1 \([0, 0, 0, -3792, 137824]\) \(-504871936/394875\) \(-4716361728000\) \([]\) \(61440\) \(1.1305\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 37440.fo1 has rank \(1\).

Complex multiplication

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

Modular form 37440.2.a.fo

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