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SageMath
E = EllipticCurve("fd1")
E.isogeny_class()
Elliptic curves in class 426888fd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.fd1 | 426888fd1 | \([0, 0, 0, -17787, -4108797]\) | \(-6912/77\) | \(-6932962051280496\) | \([]\) | \(1474560\) | \(1.7216\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888fd1 has rank \(2\).
Complex multiplication
The elliptic curves in class 426888fd do not have complex multiplication.Modular form 426888.2.a.fd
sage: E.q_eigenform(10)