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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 71478.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71478.be1 | 71478bg1 | \([1, -1, 0, -3003, -61723]\) | \(11382465033/180224\) | \(47429369856\) | \([]\) | \(96768\) | \(0.84893\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71478.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 71478.be do not have complex multiplication.Modular form 71478.2.a.be
sage: E.q_eigenform(10)