Properties

Label 355740bc
Number of curves $1$
Conductor $355740$
CM no
Rank $1$

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

Elliptic curves in class 355740bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
355740.bc1 355740bc1 \([0, -1, 0, -24845, 1663257]\) \(-630784/75\) \(-201668835244800\) \([]\) \(1330560\) \(1.4804\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 355740bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 355740bc do not have complex multiplication.

Modular form 355740.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} - 3 q^{13} - q^{15} + 4 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display