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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 23100t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23100.u1 | 23100t1 | \([0, 1, 0, -143533, 20888063]\) | \(-81756451446784/24958395\) | \(-99833580000000\) | \([]\) | \(103680\) | \(1.6634\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23100t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23100t do not have complex multiplication.Modular form 23100.2.a.t
sage: E.q_eigenform(10)