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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 54096l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54096.c1 | 54096l1 | \([0, -1, 0, -3312465, 3338439021]\) | \(-389094786976768/240588123669\) | \(-2485401239399993365248\) | \([]\) | \(3838464\) | \(2.8072\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54096l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54096l do not have complex multiplication.Modular form 54096.2.a.l
sage: E.q_eigenform(10)