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SageMath
E = EllipticCurve("ot1")
E.isogeny_class()
Elliptic curves in class 388080ot
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388080.ot1 | 388080ot1 | \([0, 0, 0, 444528, 56269836]\) | \(47775744/34375\) | \(-6989664409912800000\) | \([]\) | \(6451200\) | \(2.3043\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388080ot1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388080ot do not have complex multiplication.Modular form 388080.2.a.ot
sage: E.q_eigenform(10)