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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 54450.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54450.p1 | 54450bk1 | \([1, -1, 0, -5309442, 5115325716]\) | \(-616295051/64000\) | \(-1718943866739000000000\) | \([]\) | \(3421440\) | \(2.8139\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54450.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54450.p do not have complex multiplication.Modular form 54450.2.a.p
sage: E.q_eigenform(10)