Properties

Label 6630.c
Number of curves $1$
Conductor $6630$
CM no
Rank $1$

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

Elliptic curves in class 6630.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6630.c1 6630a1 \([1, 1, 0, 312, 307008]\) \(3342032927351/40685186580480\) \(-40685186580480\) \([]\) \(18240\) \(1.2903\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6630.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6630.c do not have complex multiplication.

Modular form 6630.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} + q^{9} + q^{10} + 3 q^{11} - q^{12} - q^{13} + q^{15} + q^{16} - q^{17} - q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display