Properties

Label 118300.w
Number of curves $1$
Conductor $118300$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 118300.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
118300.w1 118300e1 \([0, 0, 0, -845, 10985]\) \(-34560/7\) \(-13515065200\) \([]\) \(69120\) \(0.66640\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 118300.w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 118300.w do not have complex multiplication.

Modular form 118300.2.a.w

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