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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 1650e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1650.i1 | 1650e1 | \([1, 0, 1, -326, 17048]\) | \(-390625/12672\) | \(-123750000000\) | \([]\) | \(1680\) | \(0.80881\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1650e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1650e do not have complex multiplication.Modular form 1650.2.a.e
sage: E.q_eigenform(10)