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SageMath
E = EllipticCurve("ii1")
E.isogeny_class()
Elliptic curves in class 216384.ii
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
216384.ii1 | 216384gm1 | \([0, 1, 0, 28524991, -39341471457]\) | \(83228502970940543/69854999176704\) | \(-2154396594507624977793024\) | \([]\) | \(36495360\) | \(3.3568\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 216384.ii1 has rank \(0\).
Complex multiplication
The elliptic curves in class 216384.ii do not have complex multiplication.Modular form 216384.2.a.ii
sage: E.q_eigenform(10)