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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 12882.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
12882.m1 | 12882m1 | \([1, 0, 0, 3, -9]\) | \(2924207/38646\) | \(-38646\) | \([]\) | \(1520\) | \(-0.43904\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12882.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 12882.m do not have complex multiplication.Modular form 12882.2.a.m
sage: E.q_eigenform(10)