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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 7728.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7728.l1 | 7728n1 | \([0, -1, 0, -1541, 27693]\) | \(-98867482624/20696067\) | \(-84771090432\) | \([]\) | \(12000\) | \(0.81867\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7728.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7728.l do not have complex multiplication.Modular form 7728.2.a.l
sage: E.q_eigenform(10)