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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 382636d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 382636.d1 | 382636d1 | \([0, -1, 0, 771, 14846]\) | \(131072/331\) | \(-127832565424\) | \([]\) | \(544320\) | \(0.81496\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 382636d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 382636d do not have complex multiplication.Modular form 382636.2.a.d
sage: E.q_eigenform(10)