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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 117600.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
117600.n1 | 117600ei1 | \([0, -1, 0, -500208, 134111412]\) | \(480200/9\) | \(259416045000000000\) | \([]\) | \(1209600\) | \(2.1354\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 117600.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 117600.n do not have complex multiplication.Modular form 117600.2.a.n
sage: E.q_eigenform(10)