Properties

Label 317900.d
Number of curves $1$
Conductor $317900$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 317900.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
317900.d1 317900d1 \([0, 0, 0, -1319200, -1074663500]\) \(-219633107337216/304487046875\) \(-351987026187500000000\) \([]\) \(19595520\) \(2.6349\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 317900.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 317900.d do not have complex multiplication.

Modular form 317900.2.a.d

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