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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 19600.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19600.be1 | 19600q1 | \([0, -1, 0, 5367, -476363]\) | \(12459008/78125\) | \(-107187500000000\) | \([]\) | \(43008\) | \(1.3740\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19600.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 19600.be do not have complex multiplication.Modular form 19600.2.a.be
sage: E.q_eigenform(10)