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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 334620.bz
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 334620.bz1 | 334620bz1 | \([0, 0, 0, 301353, -163765186]\) | \(95961288713264/422876953125\) | \(-13337309056500000000\) | \([]\) | \(5598720\) | \(2.3522\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 334620.bz do not have complex multiplication.Modular form 334620.2.a.bz
sage: E.q_eigenform(10)