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SageMath
E = EllipticCurve("ld1")
E.isogeny_class()
Elliptic curves in class 141120ld
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141120.m1 | 141120ld1 | \([0, 0, 0, -726768, 245675808]\) | \(-30211716096/1071875\) | \(-1506190310553600000\) | \([]\) | \(2580480\) | \(2.2603\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141120ld1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141120ld do not have complex multiplication.Modular form 141120.2.a.ld
sage: E.q_eigenform(10)