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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 159201.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159201.b1 | 159201b1 | \([0, 0, 1, -7057911, -7431392124]\) | \(-28672\) | \(-1356107934513332117691\) | \([]\) | \(12257280\) | \(2.8278\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159201.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159201.b do not have complex multiplication.Modular form 159201.2.a.b
sage: E.q_eigenform(10)