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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 64974t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64974.r1 | 64974t1 | \([1, 0, 1, -1160934, 500244280]\) | \(-612583599798121/28351704576\) | \(-8008654809680039424\) | \([]\) | \(1920240\) | \(2.3907\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64974t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 64974t do not have complex multiplication.Modular form 64974.2.a.t
sage: E.q_eigenform(10)