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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 277350.be
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 277350.be1 | 277350be1 | \([1, 0, 1, 5557629553349, 33306640876850888198]\) | \(192203697666261893287480365959/4963160303408775168000000000\) | \(-490217783566122813895999488000000000000000\) | \([]\) | \(47389224960\) | \(6.6798\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277350.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 277350.be do not have complex multiplication.Modular form 277350.2.a.be
sage: E.q_eigenform(10)