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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 425880.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
425880.t1 | 425880t1 | \([0, 0, 0, 8249397, -30485781898]\) | \(2911986995665436/20516357421875\) | \(-437422532478750000000000\) | \([]\) | \(34444800\) | \(3.2179\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 425880.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 425880.t do not have complex multiplication.Modular form 425880.2.a.t
sage: E.q_eigenform(10)