Properties

Label 124848.ec
Number of curves $1$
Conductor $124848$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ec1")
 
E.isogeny_class()
 

Elliptic curves in class 124848.ec

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
124848.ec1 124848l1 \([0, 0, 0, -3468, -98260]\) \(-3072\) \(-1501549892352\) \([]\) \(236544\) \(1.0490\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 124848.ec1 has rank \(1\).

Complex multiplication

The elliptic curves in class 124848.ec do not have complex multiplication.

Modular form 124848.2.a.ec

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