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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 107242b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
107242.b1 | 107242b1 | \([1, -1, 1, -2196, -56597]\) | \(-185193/116\) | \(-733278113684\) | \([]\) | \(317016\) | \(0.97837\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 107242b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 107242b do not have complex multiplication.Modular form 107242.2.a.b
sage: E.q_eigenform(10)