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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 4928.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4928.m1 | 4928bd1 | \([0, -1, 0, -19, 77]\) | \(-12487168/26411\) | \(-1690304\) | \([]\) | \(768\) | \(-0.11596\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4928.m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4928.m do not have complex multiplication.Modular form 4928.2.a.m
sage: E.q_eigenform(10)