Properties

Label 42350d
Number of curves $1$
Conductor $42350$
CM no
Rank $0$

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

Elliptic curves in class 42350d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
42350.s1 42350d1 \([1, -1, 0, 22423, -2366259]\) \(28151260695/70647808\) \(-3128922534707200\) \([]\) \(195840\) \(1.6571\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 42350d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 42350d do not have complex multiplication.

Modular form 42350.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} - 3 q^{9} - q^{13} + q^{14} + q^{16} + 6 q^{17} + 3 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display