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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 25270.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25270.t1 | 25270n1 | \([1, 0, 0, 908449, -668734375]\) | \(1762396940073671/5127312834560\) | \(-241218949464482447360\) | \([]\) | \(967680\) | \(2.5944\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25270.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 25270.t do not have complex multiplication.Modular form 25270.2.a.t
sage: E.q_eigenform(10)