Properties

Label 478800.kc
Number of curves $1$
Conductor $478800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("kc1")
 
E.isogeny_class()
 

Elliptic curves in class 478800.kc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
478800.kc1 478800kc1 \([0, 0, 0, -1185510675, -36452538991150]\) \(-98735339854432038328225/250451215107692352768\) \(-467402075682579776429752320000\) \([]\) \(402554880\) \(4.3809\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 478800.kc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 478800.kc do not have complex multiplication.

Modular form 478800.2.a.kc

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