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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 309168be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
309168.be1 | 309168be1 | \([0, 0, 0, -17355, -908678]\) | \(-193602111625/7420032\) | \(-22156096831488\) | \([]\) | \(1225728\) | \(1.3305\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 309168be do not have complex multiplication.Modular form 309168.2.a.be
sage: E.q_eigenform(10)