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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 19950be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
19950.v1 | 19950be1 | \([1, 0, 1, -771, -8312]\) | \(-404731359773/864234\) | \(-108029250\) | \([]\) | \(17280\) | \(0.42604\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 19950be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 19950be do not have complex multiplication.Modular form 19950.2.a.be
sage: E.q_eigenform(10)