Properties

Label 124128e
Number of curves $1$
Conductor $124128$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 124128e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
124128.b1 124128e1 \([0, 0, 0, 51, -164]\) \(314432/431\) \(-20108736\) \([]\) \(28800\) \(0.087098\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 124128e1 has rank \(2\).

Complex multiplication

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

Modular form 124128.2.a.e

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - 2 q^{7} - 3 q^{11} + 4 q^{13} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display