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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 25350q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25350.i1 | 25350q1 | \([1, 1, 0, -443290, 114222100]\) | \(-559043381/4608\) | \(-79406491305024000\) | \([]\) | \(314496\) | \(2.0695\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25350q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25350q do not have complex multiplication.Modular form 25350.2.a.q
sage: E.q_eigenform(10)