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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 334620.bh
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 334620.bh1 | 334620bh1 | \([0, 0, 0, -4798248, 3686568197]\) | \(205141966848/20131375\) | \(1198921390421758146000\) | \([]\) | \(22014720\) | \(2.7816\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.bh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 334620.bh do not have complex multiplication.Modular form 334620.2.a.bh
sage: E.q_eigenform(10)