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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 233289.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
233289.v1 | 233289v1 | \([0, 0, 1, 1555260, 7459888833]\) | \(1605632000/93710763\) | \(-24281537262713336868003\) | \([]\) | \(8921088\) | \(2.9750\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 233289.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 233289.v do not have complex multiplication.Modular form 233289.2.a.v
sage: E.q_eigenform(10)