Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 254100t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254100.t1 254100t1 \([0, -1, 0, -2658, -186063]\) \(-68679424/459375\) \(-13896093750000\) \([]\) \(483840\) \(1.2053\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254100t1 has rank \(1\).

Complex multiplication

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

Modular form 254100.2.a.t

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