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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 25857.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25857.p1 | 25857l1 | \([0, 0, 1, -39, -153]\) | \(-53248/51\) | \(-6283251\) | \([]\) | \(7296\) | \(0.00065203\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25857.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25857.p do not have complex multiplication.Modular form 25857.2.a.p
sage: E.q_eigenform(10)