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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 7350.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7350.l1 | 7350n1 | \([1, 1, 0, -9825, -1912875]\) | \(-6655/96\) | \(-1513260262500000\) | \([]\) | \(33600\) | \(1.5942\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7350.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7350.l do not have complex multiplication.Modular form 7350.2.a.l
sage: E.q_eigenform(10)