Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 215475d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215475.i1 | 215475d1 | \([0, 1, 1, -1408, -36656]\) | \(-692224/867\) | \(-386912296875\) | \([]\) | \(418560\) | \(0.91683\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215475d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 215475d do not have complex multiplication.Modular form 215475.2.a.d
sage: E.q_eigenform(10)