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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 13650.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13650.t1 | 13650h1 | \([1, 1, 0, -1260, 16740]\) | \(-8860001331505/23597028\) | \(-589925700\) | \([]\) | \(10080\) | \(0.55764\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13650.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13650.t do not have complex multiplication.Modular form 13650.2.a.t
sage: E.q_eigenform(10)