Properties

Label 370881f
Number of curves $1$
Conductor $370881$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 370881f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
370881.f1 370881f1 \([0, 0, 1, -865389, 1127241288]\) \(-4096/29\) \(-507453057712185494427\) \([]\) \(16934400\) \(2.6562\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 370881f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 370881f do not have complex multiplication.

Modular form 370881.2.a.f

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + 2 q^{5} - 4 q^{10} - 2 q^{13} - 4 q^{16} + 6 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display