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SageMath
E = EllipticCurve("dl1")
E.isogeny_class()
Elliptic curves in class 352800dl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
352800.dl1 | 352800dl1 | \([0, 0, 0, -40311075, -98512429750]\) | \(-215474070728/3645\) | \(-122546064329640000000\) | \([]\) | \(17031168\) | \(2.9846\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 352800dl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 352800dl do not have complex multiplication.Modular form 352800.2.a.dl
sage: E.q_eigenform(10)