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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 114950.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
114950.bh1 | 114950z1 | \([1, 0, 1, -143751, -121254102]\) | \(-11867954041/222543200\) | \(-6160138342737500000\) | \([]\) | \(1843200\) | \(2.2864\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 114950.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 114950.bh do not have complex multiplication.Modular form 114950.2.a.bh
sage: E.q_eigenform(10)