Properties

Label 302330p
Number of curves $1$
Conductor $302330$
CM no
Rank $1$

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

Elliptic curves in class 302330p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
302330.p1 302330p1 \([1, 1, 0, 1788, 289136]\) \(5368567751/308500000\) \(-36294716500000\) \([]\) \(898560\) \(1.2815\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 302330p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 302330p do not have complex multiplication.

Modular form 302330.2.a.p

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