Properties

Label 234416d
Number of curves $1$
Conductor $234416$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 234416d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
234416.d1 234416d1 \([0, 1, 0, -1045, 4479]\) \(4194304/2093\) \(63037275392\) \([]\) \(304128\) \(0.76511\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 234416d1 has rank \(2\).

Complex multiplication

The elliptic curves in class 234416d do not have complex multiplication.

Modular form 234416.2.a.d

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - 4 q^{5} + q^{9} - 5 q^{11} + q^{13} + 8 q^{15} - 5 q^{17} + O(q^{20})\) Copy content Toggle raw display