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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 69828.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
69828.b1 | 69828s1 | \([0, -1, 0, 2998, 12069]\) | \(1257728/759\) | \(-1797747836016\) | \([]\) | \(126720\) | \(1.0407\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69828.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 69828.b do not have complex multiplication.Modular form 69828.2.a.b
sage: E.q_eigenform(10)