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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 62866d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62866.a1 | 62866d1 | \([1, -1, 0, -11531635, 34119806197]\) | \(-26827837227982881/64019602866176\) | \(-404691151969899458330624\) | \([]\) | \(13305600\) | \(3.2180\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62866d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 62866d do not have complex multiplication.Modular form 62866.2.a.d
sage: E.q_eigenform(10)