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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 217672m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
217672.u1 | 217672m1 | \([0, -1, 0, -39798825577, -3055987513005987]\) | \(5642017163771722268092767232/570626054098424597\) | \(705101561230531259038969088\) | \([]\) | \(399168000\) | \(4.5826\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 217672m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 217672m do not have complex multiplication.Modular form 217672.2.a.m
sage: E.q_eigenform(10)