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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 277200l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277200.l1 | 277200l1 | \([0, 0, 0, -5025, 163375]\) | \(-76995328/18711\) | \(-3410079750000\) | \([]\) | \(414720\) | \(1.1233\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277200l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 277200l do not have complex multiplication.Modular form 277200.2.a.l
sage: E.q_eigenform(10)