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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 301530.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 301530.x1 | 301530x1 | \([1, 0, 1, -49261814, 161007821336]\) | \(-47243662214547984840889/12680969238281250000\) | \(-3548655112609863281250000\) | \([]\) | \(108272640\) | \(3.4271\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301530.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 301530.x do not have complex multiplication.Modular form 301530.2.a.x
sage: E.q_eigenform(10)