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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 152592.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 152592.d1 | 152592bl1 | \([0, -1, 0, -658149, 8387801433]\) | \(-5102271397888/4915446963867\) | \(-30373616705582136146688\) | \([]\) | \(18579456\) | \(2.9930\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 152592.d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 152592.d do not have complex multiplication.Modular form 152592.2.a.d
sage: E.q_eigenform(10)