Properties

Label 3432.d
Number of curves $1$
Conductor $3432$
CM no
Rank $0$

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

Elliptic curves in class 3432.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3432.d1 3432b1 \([0, 1, 0, 168, -144]\) \(254527054/155727\) \(-318928896\) \([]\) \(1728\) \(0.32089\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3432.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3432.d do not have complex multiplication.

Modular form 3432.2.a.d

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{5} + 3 q^{7} + q^{9} - q^{11} - q^{13} - 3 q^{15} - 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display