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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 32340a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32340.d1 | 32340a1 | \([0, -1, 0, -1486, -55439]\) | \(-3937024/12375\) | \(-1141430598000\) | \([]\) | \(48384\) | \(1.0002\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32340a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 32340a do not have complex multiplication.Modular form 32340.2.a.a
sage: E.q_eigenform(10)