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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 1650i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1650.f1 | 1650i1 | \([1, 0, 1, -1, 8]\) | \(-625/1188\) | \(-29700\) | \([]\) | \(144\) | \(-0.46279\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1650i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1650i do not have complex multiplication.Modular form 1650.2.a.i
sage: E.q_eigenform(10)