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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 17325.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17325.a1 | 17325j1 | \([0, 0, 1, -69375, 6085156]\) | \(5186867200/754677\) | \(5372651689453125\) | \([]\) | \(161280\) | \(1.7435\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17325.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17325.a do not have complex multiplication.Modular form 17325.2.a.a
sage: E.q_eigenform(10)