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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 75712.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75712.be1 | 75712bu1 | \([0, 0, 0, 676, 2704]\) | \(73008/49\) | \(-22929227776\) | \([]\) | \(46080\) | \(0.67669\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75712.be1 has rank \(2\).
Complex multiplication
The elliptic curves in class 75712.be do not have complex multiplication.Modular form 75712.2.a.be
sage: E.q_eigenform(10)