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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 8664.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8664.m1 | 8664e1 | \([0, 1, 0, 4573, 54618]\) | \(38912/27\) | \(-7336899233712\) | \([]\) | \(16416\) | \(1.1572\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8664.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8664.m do not have complex multiplication.Modular form 8664.2.a.m
sage: E.q_eigenform(10)