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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 23520a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23520.c1 | 23520a1 | \([0, -1, 0, -16, -1784]\) | \(-392/1125\) | \(-1382976000\) | \([]\) | \(12672\) | \(0.43291\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23520a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23520a do not have complex multiplication.Modular form 23520.2.a.a
sage: E.q_eigenform(10)