Properties

Label 22848.v
Number of curves $1$
Conductor $22848$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 22848.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22848.v1 22848bq1 \([0, -1, 0, -380485, -90207971]\) \(-371806976516936704/89266779\) \(-1462546907136\) \([]\) \(86016\) \(1.7122\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22848.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 22848.v do not have complex multiplication.

Modular form 22848.2.a.v

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} + q^{9} - q^{11} + q^{13} - q^{15} - q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display