Properties

Label 32368b
Number of curves $1$
Conductor $32368$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 32368b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32368.g1 32368b1 \([0, 1, 0, -232, 1287]\) \(-299944192/343\) \(-1586032\) \([]\) \(6048\) \(0.10292\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32368b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 32368b do not have complex multiplication.

Modular form 32368.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + 2 q^{5} - q^{7} + q^{9} - 4 q^{13} - 4 q^{15} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display