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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 316239t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
316239.t1 | 316239t1 | \([0, 1, 1, -43738280024, -3520808978639917]\) | \(-3606604082099922073056514048/162252863054667\) | \(-416296455675219532600803\) | \([]\) | \(820931328\) | \(4.4616\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 316239t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 316239t do not have complex multiplication.Modular form 316239.2.a.t
sage: E.q_eigenform(10)