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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 67600.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67600.t1 | 67600ba1 | \([0, 1, 0, -35208, 8023588]\) | \(-2500/13\) | \(-25099406800000000\) | \([]\) | \(483840\) | \(1.8311\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67600.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67600.t do not have complex multiplication.Modular form 67600.2.a.t
sage: E.q_eigenform(10)