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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 163254.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163254.m1 | 163254di1 | \([1, 1, 0, -192832, -49313792]\) | \(-972115190761/721115136\) | \(-588235769813293056\) | \([]\) | \(2018016\) | \(2.1090\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163254.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 163254.m do not have complex multiplication.Modular form 163254.2.a.m
sage: E.q_eigenform(10)