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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 124128.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
124128.m1 | 124128c1 | \([0, 0, 0, -57, 272]\) | \(-438976/431\) | \(-20108736\) | \([]\) | \(23040\) | \(0.097310\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 124128.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 124128.m do not have complex multiplication.Modular form 124128.2.a.m
sage: E.q_eigenform(10)