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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 57150.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
57150.b1 | 57150u1 | \([1, -1, 0, 2583, -45009]\) | \(167284151/171450\) | \(-1952922656250\) | \([]\) | \(119808\) | \(1.0452\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57150.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 57150.b do not have complex multiplication.Modular form 57150.2.a.b
sage: E.q_eigenform(10)