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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 254320d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 254320.d1 | 254320d1 | \([0, 0, 0, -170325907, 855608392786]\) | \(-5527291469021688969/86276833280\) | \(-8529973315164144926720\) | \([]\) | \(61046784\) | \(3.3427\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254320d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 254320d do not have complex multiplication.Modular form 254320.2.a.d
sage: E.q_eigenform(10)