Properties

Label 426888.e
Number of curves $1$
Conductor $426888$
CM no
Rank $1$

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

Elliptic curves in class 426888.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
426888.e1 426888e1 \([0, 0, 0, -462, -7315]\) \(-157696/243\) \(-16804873008\) \([]\) \(437760\) \(0.65355\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 426888.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 426888.e do not have complex multiplication.

Modular form 426888.2.a.e

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} - 3 q^{13} + 6 q^{17} + O(q^{20})\) Copy content Toggle raw display