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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 281775.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
281775.b1 | 281775b1 | \([0, -1, 1, 373292, -67365432]\) | \(122023936/112047\) | \(-5282308972154296875\) | \([]\) | \(8709120\) | \(2.2799\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 281775.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 281775.b do not have complex multiplication.Modular form 281775.2.a.b
sage: E.q_eigenform(10)