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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 95550i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
95550.t1 | 95550i1 | \([1, 1, 0, -875900, -317430000]\) | \(-825056556289/4680000\) | \(-421551073125000000\) | \([]\) | \(1935360\) | \(2.2240\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 95550i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 95550i do not have complex multiplication.Modular form 95550.2.a.i
sage: E.q_eigenform(10)