Properties

Label 435344t
Number of curves $1$
Conductor $435344$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 435344t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435344.t1 435344t1 \([0, -1, 0, 3831, -184523]\) \(5030912/14651\) \(-18103700136704\) \([]\) \(817152\) \(1.2274\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 435344t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 435344t do not have complex multiplication.

Modular form 435344.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} - q^{7} - 2 q^{9} + 3 q^{11} - 3 q^{15} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display