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SageMath
E = EllipticCurve("fk1")
E.isogeny_class()
Elliptic curves in class 46800fk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46800.ez1 | 46800fk1 | \([0, 0, 0, 225, -1350]\) | \(10800/13\) | \(-1516320000\) | \([]\) | \(18432\) | \(0.44782\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46800fk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46800fk do not have complex multiplication.Modular form 46800.2.a.fk
sage: E.q_eigenform(10)