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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 227430cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
227430.dx1 | 227430cd1 | \([1, -1, 1, -501434483, -4587151283629]\) | \(-3119627664954721/228562145280\) | \(-1021569319761140391495045120\) | \([]\) | \(143410176\) | \(3.9318\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 227430cd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 227430cd do not have complex multiplication.Modular form 227430.2.a.cd
sage: E.q_eigenform(10)