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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 52800w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52800.a1 | 52800w1 | \([0, -1, 0, 47, -143]\) | \(27440/33\) | \(-13516800\) | \([]\) | \(18432\) | \(0.054480\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52800w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 52800w do not have complex multiplication.Modular form 52800.2.a.w
sage: E.q_eigenform(10)