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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 61200.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
61200.b1 | 61200gh1 | \([0, 0, 0, -38325, 21200875]\) | \(-34158804736/1045659375\) | \(-190571421093750000\) | \([]\) | \(829440\) | \(1.9961\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 61200.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 61200.b do not have complex multiplication.Modular form 61200.2.a.b
sage: E.q_eigenform(10)