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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 348726.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 348726.q1 | 348726q1 | \([1, 0, 1, -281828737, -1842344947684]\) | \(-145764150329226405097/1980521434043208\) | \(-33636310629124546585875528\) | \([]\) | \(140849280\) | \(3.7052\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 348726.q do not have complex multiplication.Modular form 348726.2.a.q
sage: E.q_eigenform(10)