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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 103428.be
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 103428.be1 | 103428x1 | \([0, 0, 0, 685464, -301118623]\) | \(22151168/37179\) | \(-59783142289647117744\) | \([]\) | \(3669120\) | \(2.4798\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 103428.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 103428.be do not have complex multiplication.Modular form 103428.2.a.be
sage: E.q_eigenform(10)