Properties

Label 254100.u
Number of curves $1$
Conductor $254100$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 254100.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254100.u1 254100u1 \([0, -1, 0, -1450533, -73710063]\) \(697367157735424/398655683181\) \(192949350659604000000\) \([]\) \(9192960\) \(2.5822\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254100.u1 has rank \(1\).

Complex multiplication

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

Modular form 254100.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{7} + q^{9} + 4 q^{13} - 5 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display