Properties

Label 450800.hf
Number of curves $1$
Conductor $450800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("hf1")
 
E.isogeny_class()
 

Elliptic curves in class 450800.hf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450800.hf1 450800hf1 \([0, 0, 0, 29920625, -1595623180375]\) \(100718081964000000/37453512751940327\) \(-1101592080438256882805750000\) \([]\) \(338411520\) \(3.8680\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450800.hf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 450800.hf do not have complex multiplication.

Modular form 450800.2.a.hf

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 6 q^{9} + 6 q^{11} + q^{13} + O(q^{20})\) Copy content Toggle raw display