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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 465690.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
465690.m1 | 465690m1 | \([1, 1, 0, -60997, -5879219]\) | \(-3659312181032299/40579891200\) | \(-278337473740800\) | \([]\) | \(2168320\) | \(1.5866\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 465690.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 465690.m do not have complex multiplication.Modular form 465690.2.a.m
sage: E.q_eigenform(10)