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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 63525t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63525.m1 | 63525t1 | \([1, 1, 1, 9012, -194424]\) | \(15104375/11907\) | \(-63809279901675\) | \([]\) | \(190080\) | \(1.3369\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63525t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 63525t do not have complex multiplication.Modular form 63525.2.a.t
sage: E.q_eigenform(10)