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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 75150bh
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 75150.bg1 | 75150bh1 | \([1, -1, 1, -155, 3097]\) | \(-35937/334\) | \(-3804468750\) | \([]\) | \(27648\) | \(0.52072\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75150bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75150bh do not have complex multiplication.Modular form 75150.2.a.bh
sage: E.q_eigenform(10)