Properties

Label 3630.o
Number of curves $1$
Conductor $3630$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 3630.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3630.o1 3630o1 \([1, 1, 1, -94806, 11189619]\) \(439632699649/300000\) \(64307664300000\) \([]\) \(26400\) \(1.5872\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3630.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3630.o do not have complex multiplication.

Modular form 3630.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} + q^{7} + q^{8} + q^{9} - q^{10} - q^{12} - 7 q^{13} + q^{14} + q^{15} + q^{16} - q^{17} + q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display