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SageMath
E = EllipticCurve("fr1")
E.isogeny_class()
Elliptic curves in class 92736.fr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92736.fr1 | 92736cr1 | \([0, 0, 0, -7248, 238880]\) | \(-3525581824/23667\) | \(-282677133312\) | \([]\) | \(208896\) | \(1.0324\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92736.fr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 92736.fr do not have complex multiplication.Modular form 92736.2.a.fr
sage: E.q_eigenform(10)