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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 5610.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5610.p1 | 5610p1 | \([1, 0, 1, -74157234, 245812062532]\) | \(-45100802713464654722769650329/4293192974400000000000\) | \(-4293192974400000000000\) | \([]\) | \(673200\) | \(3.1878\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5610.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5610.p do not have complex multiplication.Modular form 5610.2.a.p
sage: E.q_eigenform(10)