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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 9075.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9075.t1 | 9075m1 | \([0, 1, 1, 11092, -81031]\) | \(45056/27\) | \(-90432652921875\) | \([]\) | \(31680\) | \(1.3673\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9075.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9075.t do not have complex multiplication.Modular form 9075.2.a.t
sage: E.q_eigenform(10)