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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 31200.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
31200.n1 | 31200e1 | \([0, -1, 0, 4467, 418437]\) | \(153990656/1279395\) | \(-81881280000000\) | \([]\) | \(82944\) | \(1.3511\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 31200.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 31200.n do not have complex multiplication.Modular form 31200.2.a.n
sage: E.q_eigenform(10)