Properties

Label 450800eb
Number of curves $1$
Conductor $450800$
CM no
Rank $1$

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

Elliptic curves in class 450800eb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450800.eb1 450800eb1 \([0, 0, 0, 721525, 56577850]\) \(137927116575/84410368\) \(-25422836185169920000\) \([]\) \(8404992\) \(2.4127\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450800eb1 has rank \(1\).

Complex multiplication

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

Modular form 450800.2.a.eb

sage: E.q_eigenform(10)
 
\(q - 3 q^{9} + 4 q^{11} - q^{13} - 3 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display