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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 458640i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
458640.i1 | 458640i1 | \([0, 0, 0, -168, -868]\) | \(-1548288/65\) | \(-22014720\) | \([]\) | \(126720\) | \(0.17561\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 458640i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 458640i do not have complex multiplication.Modular form 458640.2.a.i
sage: E.q_eigenform(10)