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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 69828.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69828.i1 | 69828a1 | \([0, -1, 0, -20278, 1074301]\) | \(736000/33\) | \(41348200228368\) | \([]\) | \(198720\) | \(1.3752\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69828.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 69828.i do not have complex multiplication.Modular form 69828.2.a.i
sage: E.q_eigenform(10)