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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 33810.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33810.p1 | 33810o1 | \([1, 1, 0, -1397, 19881]\) | \(-125720594041/2587500\) | \(-6212587500\) | \([]\) | \(39360\) | \(0.67063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33810.p1 has rank \(2\).
Complex multiplication
The elliptic curves in class 33810.p do not have complex multiplication.Modular form 33810.2.a.p
sage: E.q_eigenform(10)