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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 480339m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
480339.m1 | 480339m1 | \([0, 0, 1, 446631, -69041709]\) | \(217088/171\) | \(-7761230746989850899\) | \([]\) | \(13188096\) | \(2.3126\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 480339m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 480339m do not have complex multiplication.Modular form 480339.2.a.m
sage: E.q_eigenform(10)