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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 25350.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25350.p1 | 25350p1 | \([1, 1, 0, -3487825, 2507807125]\) | \(-2488672890625/2426112\) | \(-4574366889300000000\) | \([]\) | \(967680\) | \(2.5013\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25350.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25350.p do not have complex multiplication.Modular form 25350.2.a.p
sage: E.q_eigenform(10)