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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 59248d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 59248.m1 | 59248d1 | \([0, -1, 0, -44612, 4067383]\) | \(-340736/49\) | \(-1412103686586992\) | \([]\) | \(211968\) | \(1.6377\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59248d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 59248d do not have complex multiplication.Modular form 59248.2.a.d
sage: E.q_eigenform(10)