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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 21675.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21675.n1 | 21675s1 | \([0, 1, 1, -327533, 71328344]\) | \(35651584/405\) | \(44143465056328125\) | \([]\) | \(235008\) | \(2.0072\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21675.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 21675.n do not have complex multiplication.Modular form 21675.2.a.n
sage: E.q_eigenform(10)