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SageMath
E = EllipticCurve("ii1")
E.isogeny_class()
Elliptic curves in class 216384ii
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
216384.de1 | 216384ii1 | \([0, -1, 0, -6785, -1875327]\) | \(-2689684081/117006336\) | \(-1502952938274816\) | \([]\) | \(718848\) | \(1.5923\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216384ii1 has rank \(1\).
Complex multiplication
The elliptic curves in class 216384ii do not have complex multiplication.Modular form 216384.2.a.ii
sage: E.q_eigenform(10)