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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 92778.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92778.m1 | 92778t1 | \([1, 1, 1, -16449, 806847]\) | \(-222816910528753/539492352\) | \(-1191738605568\) | \([]\) | \(306432\) | \(1.1961\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92778.m1 has rank \(2\).
Complex multiplication
The elliptic curves in class 92778.m do not have complex multiplication.Modular form 92778.2.a.m
sage: E.q_eigenform(10)