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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 80850m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
80850.u1 | 80850m1 | \([1, 1, 0, -5660, -173130]\) | \(-6819690145/336798\) | \(-990598697550\) | \([]\) | \(161280\) | \(1.0632\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 80850m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 80850m do not have complex multiplication.Modular form 80850.2.a.m
sage: E.q_eigenform(10)