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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 7935.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7935.l1 | 7935f1 | \([0, 1, 1, -68946, -6990505]\) | \(462843904/45\) | \(3523994337645\) | \([]\) | \(35328\) | \(1.4433\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7935.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7935.l do not have complex multiplication.Modular form 7935.2.a.l
sage: E.q_eigenform(10)