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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 74529.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
74529.n1 | 74529p1 | \([1, -1, 1, 1489027, 2804442554]\) | \(17999471/177957\) | \(-3609832395409125125877\) | \([]\) | \(5419008\) | \(2.8176\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74529.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 74529.n do not have complex multiplication.Modular form 74529.2.a.n
sage: E.q_eigenform(10)