Properties

Label 42350.bb
Number of curves $1$
Conductor $42350$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 42350.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
42350.bb1 42350s1 \([1, -1, 0, -151817, 41387341]\) \(-115538049/153664\) \(-514675673281000000\) \([]\) \(443520\) \(2.0913\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 42350.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 42350.bb do not have complex multiplication.

Modular form 42350.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{7} - q^{8} - 3 q^{9} + q^{13} - q^{14} + q^{16} + q^{17} + 3 q^{18} + O(q^{20})\) Copy content Toggle raw display