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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 32490.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32490.a1 | 32490m1 | \([1, -1, 0, -27855, -1796499]\) | \(-9082538350921/82944000\) | \(-21828289536000\) | \([]\) | \(179712\) | \(1.3821\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32490.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32490.a do not have complex multiplication.Modular form 32490.2.a.a
sage: E.q_eigenform(10)