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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 148120.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
148120.be1 | 148120bq1 | \([0, 1, 0, 296064, -12535615]\) | \(99588352/60025\) | \(-1729827016069065200\) | \([]\) | \(1554432\) | \(2.1888\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 148120.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 148120.be do not have complex multiplication.Modular form 148120.2.a.be
sage: E.q_eigenform(10)