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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 38025.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38025.be1 | 38025cw1 | \([1, -1, 1, 360445, -7341928]\) | \(1715\) | \(-3019796891764453125\) | \([]\) | \(673920\) | \(2.2354\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38025.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38025.be do not have complex multiplication.Modular form 38025.2.a.be
sage: E.q_eigenform(10)