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SageMath
E = EllipticCurve("df1")
E.isogeny_class()
Elliptic curves in class 62400.df
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62400.df1 | 62400br1 | \([0, -1, 0, -24453, 1483677]\) | \(-789601498112/2302911\) | \(-4716361728000\) | \([]\) | \(157696\) | \(1.3025\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.df1 has rank \(1\).
Complex multiplication
The elliptic curves in class 62400.df do not have complex multiplication.Modular form 62400.2.a.df
sage: E.q_eigenform(10)