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SageMath
E = EllipticCurve("ek1")
E.isogeny_class()
Elliptic curves in class 92736.ek
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92736.ek1 | 92736bn1 | \([0, 0, 0, -303084, -65160072]\) | \(-4124632486295808/70140333767\) | \(-52359478595730432\) | \([]\) | \(602112\) | \(2.0066\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92736.ek1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92736.ek do not have complex multiplication.Modular form 92736.2.a.ek
sage: E.q_eigenform(10)