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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 116242.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116242.a1 | 116242e1 | \([1, -1, 0, 1216322, 331084432]\) | \(4230070364747583/3456367146764\) | \(-162607837478968679084\) | \([]\) | \(8743680\) | \(2.5660\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116242.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 116242.a do not have complex multiplication.Modular form 116242.2.a.a
sage: E.q_eigenform(10)