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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 167884.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
167884.b1 | 167884b1 | \([0, -1, 0, -47125, 3968673]\) | \(-4194304/19\) | \(-52430103360256\) | \([]\) | \(635628\) | \(1.4841\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 167884.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 167884.b do not have complex multiplication.Modular form 167884.2.a.b
sage: E.q_eigenform(10)