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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 21175j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21175.e1 | 21175j1 | \([1, -1, 1, -7305, 110322]\) | \(36479025/16807\) | \(19859833984375\) | \([]\) | \(90000\) | \(1.2464\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21175j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21175j do not have complex multiplication.Modular form 21175.2.a.j
sage: E.q_eigenform(10)