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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 13792.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13792.e1 | 13792e1 | \([0, 1, 0, -6, 8]\) | \(-438976/431\) | \(-27584\) | \([]\) | \(768\) | \(-0.45200\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13792.e1 has rank \(2\).
Complex multiplication
The elliptic curves in class 13792.e do not have complex multiplication.Modular form 13792.2.a.e
sage: E.q_eigenform(10)