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SageMath
E = EllipticCurve("ns1")
E.isogeny_class()
Elliptic curves in class 176400ns
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.z1 | 176400ns1 | \([0, 0, 0, -27300, 1739500]\) | \(-2249728/5\) | \(-5000940000000\) | \([]\) | \(552960\) | \(1.3195\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400ns1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400ns do not have complex multiplication.Modular form 176400.2.a.ns
sage: E.q_eigenform(10)