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SageMath
E = EllipticCurve("qj1")
E.isogeny_class()
Elliptic curves in class 176400.qj
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 176400.qj1 | 176400py1 | \([0, 0, 0, 48300, 12813500]\) | \(12459008/78125\) | \(-78139687500000000\) | \([]\) | \(1290240\) | \(1.9233\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.qj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400.qj do not have complex multiplication.Modular form 176400.2.a.qj
sage: E.q_eigenform(10)