Properties

Label 97104.w
Number of curves $1$
Conductor $97104$
CM no
Rank $1$

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

Elliptic curves in class 97104.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97104.w1 97104k1 \([0, -1, 0, -48648, 4148991]\) \(-9528223648000/7411887\) \(-9904771426032\) \([]\) \(266112\) \(1.4251\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97104.w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 97104.w do not have complex multiplication.

Modular form 97104.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} - 4 q^{11} + 2 q^{13} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display