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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 69828g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69828.e1 | 69828g1 | \([0, -1, 0, -84556594, 299302412113]\) | \(53360942198048512/2910897\) | \(3647283393944112912\) | \([]\) | \(6955200\) | \(3.0308\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69828g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 69828g do not have complex multiplication.Modular form 69828.2.a.g
sage: E.q_eigenform(10)