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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 100016c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
100016.l1 | 100016c1 | \([0, 1, 0, -94316, -22437604]\) | \(-362446969457861584/637436754121139\) | \(-163183809055011584\) | \([]\) | \(743424\) | \(1.9932\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 100016c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 100016c do not have complex multiplication.Modular form 100016.2.a.c
sage: E.q_eigenform(10)