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SageMath
E = EllipticCurve("ei1")
E.isogeny_class()
Elliptic curves in class 129600ei
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
129600.ig1 | 129600ei1 | \([0, 0, 0, -2700, 27000]\) | \(2304\) | \(944784000000\) | \([]\) | \(161280\) | \(0.99401\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129600ei1 has rank \(0\).
Complex multiplication
The elliptic curves in class 129600ei do not have complex multiplication.Modular form 129600.2.a.ei
sage: E.q_eigenform(10)