Properties

Label 230640bc
Number of curves $1$
Conductor $230640$
CM no
Rank $0$

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

Elliptic curves in class 230640bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
230640.bc1 230640bc1 \([0, -1, 0, 1498840, 387138672]\) \(102437538839/77137920\) \(-280412929821423697920\) \([]\) \(10137600\) \(2.6117\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 230640bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 230640bc do not have complex multiplication.

Modular form 230640.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 3 q^{7} + q^{9} + 3 q^{11} + 2 q^{13} - q^{15} - 8 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display