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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 299538i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
299538.i1 | 299538i1 | \([1, -1, 0, -24, -514]\) | \(-27/2\) | \(-115921206\) | \([]\) | \(110880\) | \(0.22707\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 299538i1 has rank \(2\).
Complex multiplication
The elliptic curves in class 299538i do not have complex multiplication.Modular form 299538.2.a.i
sage: E.q_eigenform(10)