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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 202800be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202800.ju1 | 202800be1 | \([0, 1, 0, -10243653, 12829937823]\) | \(-769623354048512/15247889631\) | \(-2355156828861359328000\) | \([]\) | \(11289600\) | \(2.8938\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 202800be do not have complex multiplication.Modular form 202800.2.a.be
sage: E.q_eigenform(10)