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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 161840.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
161840.a1 | 161840by1 | \([0, 0, 0, -119068, -16291508]\) | \(-30211716096/1071875\) | \(-6623348933600000\) | \([]\) | \(2112000\) | \(1.8081\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 161840.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 161840.a do not have complex multiplication.Modular form 161840.2.a.a
sage: E.q_eigenform(10)