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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 3822.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3822.be1 | 3822ba1 | \([1, 0, 0, -69336, 96787872]\) | \(-6394640503489/698390001504\) | \(-4026079379060260704\) | \([]\) | \(85680\) | \(2.2495\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3822.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3822.be do not have complex multiplication.Modular form 3822.2.a.be
sage: E.q_eigenform(10)