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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 100800n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100800.bj1 | 100800n1 | \([0, 0, 0, -67500, 12150000]\) | \(-5400/7\) | \(-44089920000000000\) | \([]\) | \(691200\) | \(1.8868\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100800n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 100800n do not have complex multiplication.Modular form 100800.2.a.n
sage: E.q_eigenform(10)