Properties

Label 124128.a
Number of curves $1$
Conductor $124128$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 124128.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
124128.a1 124128m1 \([0, 0, 0, -9, -216]\) \(-1728/431\) \(-20108736\) \([]\) \(42112\) \(0.080624\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 124128.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 124128.a do not have complex multiplication.

Modular form 124128.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - 4 q^{7} - 5 q^{11} + 4 q^{13} + 6 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display