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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 59840.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59840.a1 | 59840bd1 | \([0, 0, 0, -5548, -1422128]\) | \(-72043225281/3291200000\) | \(-862768332800000\) | \([]\) | \(552960\) | \(1.5460\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59840.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 59840.a do not have complex multiplication.Modular form 59840.2.a.a
sage: E.q_eigenform(10)