Properties

Label 352800.c
Number of curves $1$
Conductor $352800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 352800.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
352800.c1 352800c1 \([0, 0, 0, -15435, -648270]\) \(7560\) \(53792511091200\) \([]\) \(1161216\) \(1.3626\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 352800.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 352800.c do not have complex multiplication.

Modular form 352800.2.a.c

sage: E.q_eigenform(10)
 
\(q - 6 q^{11} - 4 q^{13} - 7 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display