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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 80223m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
80223.n1 | 80223m1 | \([1, 0, 1, -110113, 15232325]\) | \(-5692551601/574821\) | \(-14909376346571421\) | \([]\) | \(494208\) | \(1.8434\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 80223m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 80223m do not have complex multiplication.Modular form 80223.2.a.m
sage: E.q_eigenform(10)