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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 5290.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5290.a1 | 5290b1 | \([1, 1, 0, -758, 80212]\) | \(-91236912601/5242880000\) | \(-2773483520000\) | \([]\) | \(8832\) | \(1.0675\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5290.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5290.a do not have complex multiplication.Modular form 5290.2.a.a
sage: E.q_eigenform(10)