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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 355743a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
355743.a1 | 355743a1 | \([0, 0, 1, -93351, -4164422]\) | \(207474688/102789\) | \(44572003575514101\) | \([]\) | \(5638528\) | \(1.8877\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 355743a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 355743a do not have complex multiplication.Modular form 355743.2.a.a
sage: E.q_eigenform(10)