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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 121968be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121968.du1 | 121968be1 | \([0, 0, 0, -175692, 23835548]\) | \(123904/21\) | \(101651464503477504\) | \([]\) | \(946176\) | \(1.9841\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121968be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121968be do not have complex multiplication.Modular form 121968.2.a.be
sage: E.q_eigenform(10)