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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 257400d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
257400.d1 | 257400d1 | \([0, 0, 0, 2625, 3844375]\) | \(439040/1401543\) | \(-6385780293750000\) | \([]\) | \(1658880\) | \(1.7117\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257400d1 has rank \(2\).
Complex multiplication
The elliptic curves in class 257400d do not have complex multiplication.Modular form 257400.2.a.d
sage: E.q_eigenform(10)