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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 38646.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38646.w1 | 38646bg1 | \([1, -1, 1, -10490075408, -413535954256397]\) | \(175118494194706007910209553147321/3389249508578689024\) | \(2470762891753864298496\) | \([]\) | \(39866400\) | \(4.0911\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38646.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38646.w do not have complex multiplication.Modular form 38646.2.a.w
sage: E.q_eigenform(10)