Properties

Label 422331.bc
Number of curves $1$
Conductor $422331$
CM no
Rank $3$

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

Elliptic curves in class 422331.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
422331.bc1 422331bc1 \([0, -1, 1, -153001, 23885175]\) \(-239251750912/9771957\) \(-16178407908358059\) \([]\) \(3526656\) \(1.8778\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 422331.bc1 has rank \(3\).

Complex multiplication

The elliptic curves in class 422331.bc do not have complex multiplication.

Modular form 422331.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} - q^{5} + q^{9} - 6 q^{11} + 2 q^{12} + q^{15} + 4 q^{16} + q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display