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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 426888.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.m1 | 426888m1 | \([0, 0, 0, -2152227, 1341554830]\) | \(-23716/3\) | \(-139465809298771135488\) | \([]\) | \(24026112\) | \(2.5993\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 426888.m do not have complex multiplication.Modular form 426888.2.a.m
sage: E.q_eigenform(10)