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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 26520.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26520.a1 | 26520k1 | \([0, -1, 0, -1200376, -505808999]\) | \(-11955176777615838640384/182216460684375\) | \(-2915463370950000\) | \([]\) | \(624000\) | \(2.1032\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26520.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26520.a do not have complex multiplication.Modular form 26520.2.a.a
sage: E.q_eigenform(10)