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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 61710m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61710.l1 | 61710m1 | \([1, 1, 0, -552, 4866]\) | \(-14014952531/318750\) | \(-424256250\) | \([]\) | \(27840\) | \(0.44334\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61710m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 61710m do not have complex multiplication.Modular form 61710.2.a.m
sage: E.q_eigenform(10)