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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 265200l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
265200.l1 | 265200l1 | \([0, -1, 0, -40958, 3232287]\) | \(-243164694272/2490891\) | \(-77840343750000\) | \([]\) | \(875520\) | \(1.4835\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 265200l1 has rank \(2\).
Complex multiplication
The elliptic curves in class 265200l do not have complex multiplication.Modular form 265200.2.a.l
sage: E.q_eigenform(10)