Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 254100m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254100.m1 254100m1 \([0, -1, 0, -403333, -51010463]\) \(1638400/693\) \(3069229432500000000\) \([]\) \(4492800\) \(2.2441\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254100m1 has rank \(1\).

Complex multiplication

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

Modular form 254100.2.a.m

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + q^{13} - 5 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display