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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 476850.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 476850.d1 | 476850d1 | \([1, 1, 0, -400539700, 3125133874000]\) | \(-30148578968103025/453762220032\) | \(-106960125933745920000000000\) | \([]\) | \(352512000\) | \(3.7977\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 476850.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 476850.d do not have complex multiplication.Modular form 476850.2.a.d
sage: E.q_eigenform(10)