Properties

Label 370300.w
Number of curves $1$
Conductor $370300$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 370300.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
370300.w1 370300w1 \([0, 0, 0, -66125, -7604375]\) \(-34560/7\) \(-6476570143750000\) \([]\) \(2245320\) \(1.7564\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 370300.w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 370300.w do not have complex multiplication.

Modular form 370300.2.a.w

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