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SageMath
E = EllipticCurve("nm1")
E.isogeny_class()
Elliptic curves in class 235200nm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.nm1 | 235200nm1 | \([0, -1, 0, 7603167, -32687258463]\) | \(16468459/165888\) | \(-489631389843456000000000\) | \([]\) | \(28385280\) | \(3.2268\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200nm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 235200nm do not have complex multiplication.Modular form 235200.2.a.nm
sage: E.q_eigenform(10)