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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 334620.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
334620.q1 | 334620q1 | \([0, 0, 0, -11652888, 15328460212]\) | \(-6801793024/9075\) | \(-233478906384162067200\) | \([]\) | \(13418496\) | \(2.8143\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 334620.q do not have complex multiplication.Modular form 334620.2.a.q
sage: E.q_eigenform(10)