Properties

Label 432d
Number of curves $1$
Conductor $432$
CM no
Rank $1$

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

Elliptic curves in class 432d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
432.c1 432d1 \([0, 0, 0, -3, 34]\) \(-6\) \(-497664\) \([]\) \(48\) \(-0.22751\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 432d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 432d do not have complex multiplication.

Modular form 432.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{7} - 5 q^{11} + 4 q^{13} - 8 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display