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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 10304bh
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 10304.b1 | 10304bh1 | \([0, 0, 0, 97700, 297725608]\) | \(100718081964000000/37453512751940327\) | \(-38352397057986894848\) | \([]\) | \(391680\) | \(2.4369\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10304bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 10304bh do not have complex multiplication.Modular form 10304.2.a.bh
sage: E.q_eigenform(10)