Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 254100a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254100.a1 254100a1 \([0, -1, 0, -5941721133, -176364122689863]\) \(-3273741656681120014336/1733575611796875\) \(-12284539777641934687500000000\) \([]\) \(261273600\) \(4.3398\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254100a1 has rank \(1\).

Complex multiplication

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

Modular form 254100.2.a.a

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