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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 485520.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485520.i1 | 485520i1 | \([0, -1, 0, -163381, -37523075]\) | \(-4878401536/3346875\) | \(-330897105907200000\) | \([]\) | \(4976640\) | \(2.0621\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485520.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 485520.i do not have complex multiplication.Modular form 485520.2.a.i
sage: E.q_eigenform(10)