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SageMath
E = EllipticCurve("dc1")
E.isogeny_class()
Elliptic curves in class 216384.dc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
216384.dc1 | 216384ig1 | \([0, -1, 0, -1928705, 1035120129]\) | \(-25727239787761/101406816\) | \(-3127485528954372096\) | \([]\) | \(3317760\) | \(2.4065\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216384.dc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 216384.dc do not have complex multiplication.Modular form 216384.2.a.dc
sage: E.q_eigenform(10)