Properties

Label 364650.p
Number of curves $1$
Conductor $364650$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 364650.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
364650.p1 364650p1 \([1, 1, 0, -410, -5100]\) \(-61209566621/48542208\) \(-6067776000\) \([]\) \(288000\) \(0.57566\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 364650.p1 has rank \(2\).

Complex multiplication

The elliptic curves in class 364650.p do not have complex multiplication.

Modular form 364650.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} - q^{8} + q^{9} - q^{11} - q^{12} - q^{13} + q^{14} + q^{16} - q^{17} - q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display