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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 445280t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
445280.t1 | 445280t1 | \([0, 0, 0, -3590312, -7994965616]\) | \(-705349276356096/3397216796875\) | \(-24651271315000000000000\) | \([]\) | \(29952000\) | \(2.9811\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 445280t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 445280t do not have complex multiplication.Modular form 445280.2.a.t
sage: E.q_eigenform(10)