Properties

Label 364650.bb
Number of curves $1$
Conductor $364650$
CM no
Rank $1$

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

Elliptic curves in class 364650.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
364650.bb1 364650bb1 \([1, 1, 0, -5550, 4820400]\) \(-30258326584825/16058804167692\) \(-10036752604807500\) \([]\) \(2657280\) \(1.7495\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 364650.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 364650.bb do not have complex multiplication.

Modular form 364650.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + q^{7} - q^{8} + q^{9} + q^{11} - q^{12} + q^{13} - q^{14} + q^{16} + q^{17} - q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display