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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 370300be
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 370300.be1 | 370300be1 | \([0, 1, 0, 22042, 9752213]\) | \(32000/1127\) | \(-41709111725750000\) | \([]\) | \(1824768\) | \(1.8691\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 370300be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 370300be do not have complex multiplication.Modular form 370300.2.a.be
sage: E.q_eigenform(10)