Properties

Label 102960.cd
Number of curves $1$
Conductor $102960$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cd1")
 
E.isogeny_class()
 

Elliptic curves in class 102960.cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102960.cd1 102960dx1 \([0, 0, 0, -440163, 228989538]\) \(-3158470573163361/5758438400000\) \(-17194604927385600000\) \([]\) \(2096640\) \(2.3810\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102960.cd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 102960.cd do not have complex multiplication.

Modular form 102960.2.a.cd

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