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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 254100.bh
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 254100.bh1 | 254100bh1 | \([0, -1, 0, -175514533, 98810151937]\) | \(697367157735424/398655683181\) | \(341821544603878721844000000\) | \([]\) | \(101122560\) | \(3.7811\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254100.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 254100.bh do not have complex multiplication.Modular form 254100.2.a.bh
sage: E.q_eigenform(10)