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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 360789.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
360789.a1 | 360789a1 | \([0, 1, 1, -1128902, -462063910]\) | \(-267488328429568/11084931\) | \(-6593575470475851\) | \([]\) | \(8064000\) | \(2.1165\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 360789.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 360789.a do not have complex multiplication.Modular form 360789.2.a.a
sage: E.q_eigenform(10)