Properties

Label 6900.c
Number of curves $1$
Conductor $6900$
CM no
Rank $0$

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

Elliptic curves in class 6900.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6900.c1 6900a1 \([0, -1, 0, -21133, 1664137]\) \(-260956266496/145546875\) \(-582187500000000\) \([]\) \(32256\) \(1.5365\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6900.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6900.c do not have complex multiplication.

Modular form 6900.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{7} + q^{9} - 2 q^{11} + 2 q^{13} + 7 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display