Properties

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

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Show commands: SageMath
E = EllipticCurve("dd1")
 
E.isogeny_class()
 

Elliptic curves in class 303450.dd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303450.dd1 303450dd1 \([1, 0, 1, 122674, 57266048]\) \(6257929415/47029248\) \(-1534347586800000000\) \([]\) \(4492800\) \(2.1711\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303450.dd1 has rank \(1\).

Complex multiplication

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

Modular form 303450.2.a.dd

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