Properties

Label 213444.bc
Number of curves $1$
Conductor $213444$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 213444.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
213444.bc1 213444ba1 \([0, 0, 0, -3096076368, 7316312029796]\) \(697367157735424/398655683181\) \(1876269309113802209727862215936\) \([]\) \(277364736\) \(4.4986\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 213444.bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 213444.bc do not have complex multiplication.

Modular form 213444.2.a.bc

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