Properties

Label 428400.cq
Number of curves $1$
Conductor $428400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cq1")
 
E.isogeny_class()
 

Elliptic curves in class 428400.cq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
428400.cq1 428400cq1 \([0, 0, 0, -6555, -601270]\) \(-417267265/1850688\) \(-138153118924800\) \([]\) \(829440\) \(1.3982\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 428400.cq1 has rank \(0\).

Complex multiplication

The elliptic curves in class 428400.cq do not have complex multiplication.

Modular form 428400.2.a.cq

sage: E.q_eigenform(10)
 
\(q - q^{7} - 2 q^{11} + q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display