Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 337561d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
337561.d1 | 337561d1 | \([1, 0, 1, 330528, -45144291]\) | \(103823/83\) | \(-3192529262878626923\) | \([]\) | \(4546080\) | \(2.2385\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 337561d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 337561d do not have complex multiplication.Modular form 337561.2.a.d
sage: E.q_eigenform(10)