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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 55473.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55473.p1 | 55473j1 | \([1, 0, 1, -2988013, -1988443321]\) | \(-9011897441/891\) | \(-291697303545019251\) | \([]\) | \(787200\) | \(2.3861\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55473.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 55473.p do not have complex multiplication.Modular form 55473.2.a.p
sage: E.q_eigenform(10)