Properties

Label 303450.e
Number of curves $1$
Conductor $303450$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 303450.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303450.e1 303450e1 \([1, 1, 0, 35452925, 281312642125]\) \(6257929415/47029248\) \(-37035420746368489200000000\) \([]\) \(76377600\) \(3.5877\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303450.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 303450.e do not have complex multiplication.

Modular form 303450.2.a.e

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