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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 381150be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
381150.be1 | 381150be1 | \([1, -1, 0, -100392, 12350366]\) | \(-138630825/1078\) | \(-870126544113750\) | \([]\) | \(2580480\) | \(1.6957\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150be1 has rank \(2\).
Complex multiplication
The elliptic curves in class 381150be do not have complex multiplication.Modular form 381150.2.a.be
sage: E.q_eigenform(10)