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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 11858.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11858.be1 | 11858bc1 | \([1, -1, 1, -297562, -113388327]\) | \(-115538049/153664\) | \(-3875269010293527616\) | \([]\) | \(152064\) | \(2.2596\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11858.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11858.be do not have complex multiplication.Modular form 11858.2.a.be
sage: E.q_eigenform(10)