Properties

Label 426888.fd
Number of curves $1$
Conductor $426888$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("fd1")
 
E.isogeny_class()
 

Elliptic curves in class 426888.fd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
426888.fd1 426888fd1 \([0, 0, 0, -17787, -4108797]\) \(-6912/77\) \(-6932962051280496\) \([]\) \(1474560\) \(1.7216\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 426888.fd1 has rank \(2\).

Complex multiplication

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

Modular form 426888.2.a.fd

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