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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 33800.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33800.v1 | 33800p1 | \([0, 1, 0, -1775908, 910318813]\) | \(3037375744/25\) | \(5098317006250000\) | \([]\) | \(359424\) | \(2.1843\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33800.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33800.v do not have complex multiplication.Modular form 33800.2.a.v
sage: E.q_eigenform(10)