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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 9072.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9072.n1 | 9072i1 | \([0, 0, 0, 35253, -585702]\) | \(3245297195502/1977326743\) | \(-2952133008685056\) | \([]\) | \(50688\) | \(1.6576\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9072.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9072.n do not have complex multiplication.Modular form 9072.2.a.n
sage: E.q_eigenform(10)