Properties

Label 467856.cl
Number of curves $1$
Conductor $467856$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cl1")
 
E.isogeny_class()
 

Elliptic curves in class 467856.cl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
467856.cl1 467856cl1 \([0, 0, 0, -9747, 185193]\) \(2304\) \(44448195634704\) \([]\) \(995328\) \(1.3149\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 467856.cl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 467856.cl do not have complex multiplication.

Modular form 467856.2.a.cl

sage: E.q_eigenform(10)
 
\(q + q^{5} + 3 q^{7} + 5 q^{11} + 5 q^{13} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display