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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 121680.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121680.t1 | 121680dj1 | \([0, 0, 0, -1614288, -1240197712]\) | \(-32278933504/27421875\) | \(-395225299235520000000\) | \([]\) | \(4515840\) | \(2.6498\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121680.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121680.t do not have complex multiplication.Modular form 121680.2.a.t
sage: E.q_eigenform(10)