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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 33150.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33150.p1 | 33150y1 | \([1, 0, 1, -651, -6602]\) | \(-48711031225/1442688\) | \(-901680000\) | \([]\) | \(30240\) | \(0.49681\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33150.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 33150.p do not have complex multiplication.Modular form 33150.2.a.p
sage: E.q_eigenform(10)