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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 334620v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 334620.v1 | 334620v1 | \([0, 0, 0, -160956588, -784112969887]\) | \(233946077598763088625664/642277364501953125\) | \(1266067417344082031250000\) | \([]\) | \(50319360\) | \(3.4980\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 334620v do not have complex multiplication.Modular form 334620.2.a.v
sage: E.q_eigenform(10)