Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 302330h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
302330.h1 302330h1 \([1, 1, 0, -992863, 380375717]\) \(-383188066235401/2468000\) \(-697148914532000\) \([]\) \(5009760\) \(2.0324\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 302330h1 has rank \(1\).

Complex multiplication

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

Modular form 302330.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} - 2 q^{9} + q^{10} + 5 q^{11} - q^{12} + 6 q^{13} + q^{15} + q^{16} + 7 q^{17} + 2 q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display