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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 4140.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4140.b1 | 4140c1 | \([0, 0, 0, -7608, -357932]\) | \(-260956266496/145546875\) | \(-27162540000000\) | \([]\) | \(10752\) | \(1.2811\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4140.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 4140.b do not have complex multiplication.Modular form 4140.2.a.b
sage: E.q_eigenform(10)