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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 301665v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 301665.v1 | 301665v1 | \([0, -1, 1, 1764240799, -328452455049184]\) | \(744475614464596015579136/57562958459187069721875\) | \(-46955873606805717458102363221875\) | \([]\) | \(809952000\) | \(4.7568\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301665v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 301665v do not have complex multiplication.Modular form 301665.2.a.v
sage: E.q_eigenform(10)