Properties

Label 302330.l
Number of curves $1$
Conductor $302330$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 302330.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
302330.l1 302330l1 \([1, 0, 1, -663, -7794]\) \(-273359449/61700\) \(-7258943300\) \([]\) \(207360\) \(0.61219\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 302330.l1 has rank \(0\).

Complex multiplication

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

Modular form 302330.2.a.l

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