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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 301530.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 301530.q1 | 301530q1 | \([1, 1, 0, -3347787, -2359350339]\) | \(-14828117765035067161/2001730560000\) | \(-560166281640960000\) | \([]\) | \(10622976\) | \(2.4242\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301530.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 301530.q do not have complex multiplication.Modular form 301530.2.a.q
sage: E.q_eigenform(10)