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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 388080i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388080.i1 | 388080i1 | \([0, 0, 0, -624603, 215614602]\) | \(-42269574627/7040000\) | \(-4488287740231680000\) | \([]\) | \(9031680\) | \(2.3061\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388080i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388080i do not have complex multiplication.Modular form 388080.2.a.i
sage: E.q_eigenform(10)