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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 106575.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106575.m1 | 106575co1 | \([0, 1, 1, 2042, -64256]\) | \(1003520/2523\) | \(-2366298046875\) | \([]\) | \(316080\) | \(1.0582\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106575.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 106575.m do not have complex multiplication.Modular form 106575.2.a.m
sage: E.q_eigenform(10)