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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 11916.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11916.i1 | 11916e1 | \([0, 0, 0, 24, -83]\) | \(131072/331\) | \(-3860784\) | \([]\) | \(2592\) | \(-0.052338\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11916.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11916.i do not have complex multiplication.Modular form 11916.2.a.i
sage: E.q_eigenform(10)