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SageMath
E = EllipticCurve("cr1")
E.isogeny_class()
Elliptic curves in class 50400cr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
50400.m1 | 50400cr1 | \([0, 0, 0, -675, -12150]\) | \(-5400/7\) | \(-44089920000\) | \([]\) | \(34560\) | \(0.73550\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 50400cr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 50400cr do not have complex multiplication.Modular form 50400.2.a.cr
sage: E.q_eigenform(10)