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SageMath
E = EllipticCurve("ns1")
E.isogeny_class()
Elliptic curves in class 352800ns
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
352800.ns1 | 352800ns1 | \([0, 0, 0, -826875, -520931250]\) | \(-5400/7\) | \(-81048984345000000000\) | \([]\) | \(8294400\) | \(2.5132\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 352800ns1 has rank \(1\).
Complex multiplication
The elliptic curves in class 352800ns do not have complex multiplication.Modular form 352800.2.a.ns
sage: E.q_eigenform(10)