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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 141610.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141610.b1 | 141610bl1 | \([1, -1, 0, -59299, -6177515]\) | \(-2346853689/327680\) | \(-3219836806430720\) | \([]\) | \(2177280\) | \(1.7071\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141610.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141610.b do not have complex multiplication.Modular form 141610.2.a.b
sage: E.q_eigenform(10)