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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 55473e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
55473.l1 | 55473e1 | \([1, 1, 0, -1777, -29588]\) | \(-9011897441/891\) | \(-61408611\) | \([]\) | \(19200\) | \(0.52929\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 55473e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 55473e do not have complex multiplication.Modular form 55473.2.a.e
sage: E.q_eigenform(10)