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SageMath
E = EllipticCurve("ed1")
E.isogeny_class()
Elliptic curves in class 388080.ed
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388080.ed1 | 388080ed1 | \([0, 0, 0, 49392, -2084068]\) | \(47775744/34375\) | \(-9588017023200000\) | \([]\) | \(2150400\) | \(1.7550\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388080.ed1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388080.ed do not have complex multiplication.Modular form 388080.2.a.ed
sage: E.q_eigenform(10)