Properties

Label 124128p
Number of curves $1$
Conductor $124128$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 124128p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
124128.r1 124128p1 \([0, 0, 0, -984, -7792]\) \(35287552/11637\) \(34747895808\) \([]\) \(95232\) \(0.72553\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 124128p1 has rank \(0\).

Complex multiplication

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

Modular form 124128.2.a.p

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} + 4 q^{7} + 4 q^{11} + 4 q^{13} + 7 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display