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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 375700l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
375700.l1 | 375700l1 | \([0, 0, 0, 180625, -30706250]\) | \(10800/13\) | \(-784470992500000000\) | \([]\) | \(3720960\) | \(2.1198\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 375700l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 375700l do not have complex multiplication.Modular form 375700.2.a.l
sage: E.q_eigenform(10)