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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 6040.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6040.i1 | 6040d1 | \([0, 1, 0, 120, -400]\) | \(92536558/94375\) | \(-193280000\) | \([]\) | \(1792\) | \(0.27682\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6040.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6040.i do not have complex multiplication.Modular form 6040.2.a.i
sage: E.q_eigenform(10)