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SageMath
E = EllipticCurve("gi1")
E.isogeny_class()
Elliptic curves in class 377520gi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
377520.gi1 | 377520gi1 | \([0, 1, 0, -40, -417100]\) | \(-14641/151632000\) | \(-75151245312000\) | \([]\) | \(870912\) | \(1.3414\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 377520gi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 377520gi do not have complex multiplication.Modular form 377520.2.a.gi
sage: E.q_eigenform(10)