Properties

Label 348.b
Number of curves $1$
Conductor $348$
CM no
Rank $1$

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

Elliptic curves in class 348.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
348.b1 348a1 \([0, -1, 0, 2, 1]\) \(32000/87\) \(-1392\) \([]\) \(12\) \(-0.71319\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 348.b do not have complex multiplication.

Modular form 348.2.a.b

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