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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 132834.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
132834.t1 | 132834q1 | \([1, 1, 1, -577730, -169259641]\) | \(4418129129836969/2291976\) | \(11062930384584\) | \([]\) | \(1161216\) | \(1.8344\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 132834.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 132834.t do not have complex multiplication.Modular form 132834.2.a.t
sage: E.q_eigenform(10)