Properties

Label 254100e
Number of curves $1$
Conductor $254100$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 254100e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254100.e1 254100e1 \([0, -1, 0, -486218, -130751883]\) \(-17939139239680/66706983\) \(-47270195804185200\) \([]\) \(2882880\) \(2.0596\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254100e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 254100e do not have complex multiplication.

Modular form 254100.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} - 2 q^{13} + 8 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display