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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 361920l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
361920.l1 | 361920l1 | \([0, -1, 0, -229341, 42439455]\) | \(-20844464253240180736/50946308521875\) | \(-3260563745400000\) | \([]\) | \(2488320\) | \(1.8552\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 361920l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 361920l do not have complex multiplication.Modular form 361920.2.a.l
sage: E.q_eigenform(10)