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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 303450v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 303450.v1 | 303450v1 | \([1, 1, 0, -362845, 83973505]\) | \(30294070465/588\) | \(102543634382700\) | \([]\) | \(2878848\) | \(1.8109\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303450v do not have complex multiplication.Modular form 303450.2.a.v
sage: E.q_eigenform(10)