Properties

Label 254898be
Number of curves $1$
Conductor $254898$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 254898be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254898.be1 254898be1 \([1, -1, 0, 7007040, 6751154304]\) \(53582633/58752\) \(-41718248998966493057664\) \([]\) \(21676032\) \(3.0270\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254898be1 has rank \(1\).

Complex multiplication

The elliptic curves in class 254898be do not have complex multiplication.

Modular form 254898.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{8} + q^{10} - 5 q^{11} + 5 q^{13} + q^{16} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display