Properties

Label 422370bc
Number of curves $1$
Conductor $422370$
CM no
Rank $2$

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

Elliptic curves in class 422370bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
422370.bc1 422370bc1 \([1, -1, 0, -1350, -19980]\) \(-54439939/4160\) \(-20800877760\) \([]\) \(374400\) \(0.72783\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 422370bc1 has rank \(2\).

Complex multiplication

The elliptic curves in class 422370bc do not have complex multiplication.

Modular form 422370.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} + q^{10} + 2 q^{11} - q^{13} - q^{14} + q^{16} + O(q^{20})\) Copy content Toggle raw display